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Finding the Fourth Proportional to 3,732.52, 5,148.88 and 2,315.76

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Solution

The fourth proportional to 3,732.52, 5,148.88 and 2,315.76 is: 3,194.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,732.52 : 5,148.88 = 2,315.76 : x
  2. Step 2: Convert to fraction form
    3,732.52/5,148.88 = 2,315.76/x
  3. Step 3: Cross multiply
    3,732.52x = 5,148.88 × 2,315.76
  4. Step 4: Simplify right side
    3,732.52x = 11,923,570.35
  5. Step 5: Solve for x
    x = 11,923,570.35/3,732.52
  6. Step 6: Final answer
    x = 3,194.51

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