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Finding the Fourth Proportional to 5,737.23, 8,585.79 and 4,966.31

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Solution

The fourth proportional to 5,737.23, 8,585.79 and 4,966.31 is: 7,432.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,737.23 : 8,585.79 = 4,966.31 : x
  2. Step 2: Convert to fraction form
    5,737.23/8,585.79 = 4,966.31/x
  3. Step 3: Cross multiply
    5,737.23x = 8,585.79 × 4,966.31
  4. Step 4: Simplify right side
    5,737.23x = 42,639,694.73
  5. Step 5: Solve for x
    x = 42,639,694.73/5,737.23
  6. Step 6: Final answer
    x = 7,432.10

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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.