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Finding the Fourth Proportional to 5,572.50, 7,691.18 and 3,214.32

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Solution

The fourth proportional to 5,572.50, 7,691.18 and 3,214.32 is: 4,436.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,572.50 : 7,691.18 = 3,214.32 : x
  2. Step 2: Convert to fraction form
    5,572.50/7,691.18 = 3,214.32/x
  3. Step 3: Cross multiply
    5,572.50x = 7,691.18 × 3,214.32
  4. Step 4: Simplify right side
    5,572.50x = 24,721,913.70
  5. Step 5: Solve for x
    x = 24,721,913.70/5,572.50
  6. Step 6: Final answer
    x = 4,436.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.