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Finding the Fourth Proportional to 2,572.52, 3,877.23 and 2,429.46

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Solution

The fourth proportional to 2,572.52, 3,877.23 and 2,429.46 is: 3,661.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.52 : 3,877.23 = 2,429.46 : x
  2. Step 2: Convert to fraction form
    2,572.52/3,877.23 = 2,429.46/x
  3. Step 3: Cross multiply
    2,572.52x = 3,877.23 × 2,429.46
  4. Step 4: Simplify right side
    2,572.52x = 9,419,575.20
  5. Step 5: Solve for x
    x = 9,419,575.20/2,572.52
  6. Step 6: Final answer
    x = 3,661.61

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Why These Related Problems?

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