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Finding the Fourth Proportional to 3,838.80, 5,755.16 and 3,531.28

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Solution

The fourth proportional to 3,838.80, 5,755.16 and 3,531.28 is: 5,294.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.80 : 5,755.16 = 3,531.28 : x
  2. Step 2: Convert to fraction form
    3,838.80/5,755.16 = 3,531.28/x
  3. Step 3: Cross multiply
    3,838.80x = 5,755.16 × 3,531.28
  4. Step 4: Simplify right side
    3,838.80x = 20,323,081.40
  5. Step 5: Solve for x
    x = 20,323,081.40/3,838.80
  6. Step 6: Final answer
    x = 5,294.12

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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.