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Finding the Fourth Proportional to 4,562.38, 6,296.17 and 2,572.55

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Solution

The fourth proportional to 4,562.38, 6,296.17 and 2,572.55 is: 3,550.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562.38 : 6,296.17 = 2,572.55 : x
  2. Step 2: Convert to fraction form
    4,562.38/6,296.17 = 2,572.55/x
  3. Step 3: Cross multiply
    4,562.38x = 6,296.17 × 2,572.55
  4. Step 4: Simplify right side
    4,562.38x = 16,197,207.48
  5. Step 5: Solve for x
    x = 16,197,207.48/4,562.38
  6. Step 6: Final answer
    x = 3,550.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.