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Finding the Fourth Proportional to 3,462.16, 5,193.08 and 865.12

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Solution

The fourth proportional to 3,462.16, 5,193.08 and 865.12 is: 1,297.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.16 : 5,193.08 = 865.12 : x
  2. Step 2: Convert to fraction form
    3,462.16/5,193.08 = 865.12/x
  3. Step 3: Cross multiply
    3,462.16x = 5,193.08 × 865.12
  4. Step 4: Simplify right side
    3,462.16x = 4,492,637.37
  5. Step 5: Solve for x
    x = 4,492,637.37/3,462.16
  6. Step 6: Final answer
    x = 1,297.64

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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.