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Finding the Fourth Proportional to 4,407.57, 6,644.72 and 4,169.43

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Solution

The fourth proportional to 4,407.57, 6,644.72 and 4,169.43 is: 6,285.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,407.57 : 6,644.72 = 4,169.43 : x
  2. Step 2: Convert to fraction form
    4,407.57/6,644.72 = 4,169.43/x
  3. Step 3: Cross multiply
    4,407.57x = 6,644.72 × 4,169.43
  4. Step 4: Simplify right side
    4,407.57x = 27,704,694.91
  5. Step 5: Solve for x
    x = 27,704,694.91/4,407.57
  6. Step 6: Final answer
    x = 6,285.71

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.