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Finding the Fourth Proportional to 3,502.16, 5,251.84 and 1,553.04

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Solution

The fourth proportional to 3,502.16, 5,251.84 and 1,553.04 is: 2,328.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.16 : 5,251.84 = 1,553.04 : x
  2. Step 2: Convert to fraction form
    3,502.16/5,251.84 = 1,553.04/x
  3. Step 3: Cross multiply
    3,502.16x = 5,251.84 × 1,553.04
  4. Step 4: Simplify right side
    3,502.16x = 8,156,317.59
  5. Step 5: Solve for x
    x = 8,156,317.59/3,502.16
  6. Step 6: Final answer
    x = 2,328.94

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