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Finding the Fourth Proportional to 5,792.84, 8,690.16 and 1,896.32

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Solution

The fourth proportional to 5,792.84, 8,690.16 and 1,896.32 is: 2,844.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,792.84 : 8,690.16 = 1,896.32 : x
  2. Step 2: Convert to fraction form
    5,792.84/8,690.16 = 1,896.32/x
  3. Step 3: Cross multiply
    5,792.84x = 8,690.16 × 1,896.32
  4. Step 4: Simplify right side
    5,792.84x = 16,479,324.21
  5. Step 5: Solve for x
    x = 16,479,324.21/5,792.84
  6. Step 6: Final answer
    x = 2,844.77

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.