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Finding the Fourth Proportional to 5,792.09, 8,689.48 and 1,896.26

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Solution

The fourth proportional to 5,792.09, 8,689.48 and 1,896.26 is: 2,844.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,792.09 : 8,689.48 = 1,896.26 : x
  2. Step 2: Convert to fraction form
    5,792.09/8,689.48 = 1,896.26/x
  3. Step 3: Cross multiply
    5,792.09x = 8,689.48 × 1,896.26
  4. Step 4: Simplify right side
    5,792.09x = 16,477,465.16
  5. Step 5: Solve for x
    x = 16,477,465.16/5,792.09
  6. Step 6: Final answer
    x = 2,844.82

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Double scale
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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.