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Finding the Fourth Proportional to 3,882.72, 5,356.08 and 2,701.74

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Solution

The fourth proportional to 3,882.72, 5,356.08 and 2,701.74 is: 3,726.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.72 : 5,356.08 = 2,701.74 : x
  2. Step 2: Convert to fraction form
    3,882.72/5,356.08 = 2,701.74/x
  3. Step 3: Cross multiply
    3,882.72x = 5,356.08 × 2,701.74
  4. Step 4: Simplify right side
    3,882.72x = 14,470,735.58
  5. Step 5: Solve for x
    x = 14,470,735.58/3,882.72
  6. Step 6: Final answer
    x = 3,726.96

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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.