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Finding the Fourth Proportional to 3,726.61, 5,142 and 2,532.54

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Solution

The fourth proportional to 3,726.61, 5,142 and 2,532.54 is: 3,494.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,726.61 : 5,142 = 2,532.54 : x
  2. Step 2: Convert to fraction form
    3,726.61/5,142 = 2,532.54/x
  3. Step 3: Cross multiply
    3,726.61x = 5,142 × 2,532.54
  4. Step 4: Simplify right side
    3,726.61x = 13,022,320.68
  5. Step 5: Solve for x
    x = 13,022,320.68/3,726.61
  6. Step 6: Final answer
    x = 3,494.41

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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.