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Finding the Fourth Proportional to 5,949.68, 8,211.42 and 3,592.16

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Solution

The fourth proportional to 5,949.68, 8,211.42 and 3,592.16 is: 4,957.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,949.68 : 8,211.42 = 3,592.16 : x
  2. Step 2: Convert to fraction form
    5,949.68/8,211.42 = 3,592.16/x
  3. Step 3: Cross multiply
    5,949.68x = 8,211.42 × 3,592.16
  4. Step 4: Simplify right side
    5,949.68x = 29,496,734.47
  5. Step 5: Solve for x
    x = 29,496,734.47/5,949.68
  6. Step 6: Final answer
    x = 4,957.70

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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.