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Finding the Fourth Proportional to 5,737.31, 7,906.66 and 4,141.14

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Solution

The fourth proportional to 5,737.31, 7,906.66 and 4,141.14 is: 5,706.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,737.31 : 7,906.66 = 4,141.14 : x
  2. Step 2: Convert to fraction form
    5,737.31/7,906.66 = 4,141.14/x
  3. Step 3: Cross multiply
    5,737.31x = 7,906.66 × 4,141.14
  4. Step 4: Simplify right side
    5,737.31x = 32,742,585.99
  5. Step 5: Solve for x
    x = 32,742,585.99/5,737.31
  6. Step 6: Final answer
    x = 5,706.96

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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.