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Finding the Fourth Proportional to 5,789.62, 7,989.71 and 3,666.06

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Solution

The fourth proportional to 5,789.62, 7,989.71 and 3,666.06 is: 5,059.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,789.62 : 7,989.71 = 3,666.06 : x
  2. Step 2: Convert to fraction form
    5,789.62/7,989.71 = 3,666.06/x
  3. Step 3: Cross multiply
    5,789.62x = 7,989.71 × 3,666.06
  4. Step 4: Simplify right side
    5,789.62x = 29,290,737.91
  5. Step 5: Solve for x
    x = 29,290,737.91/5,789.62
  6. Step 6: Final answer
    x = 5,059.18

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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.