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Finding the Fourth Proportional to 3,753.97, 5,182.55 and 2,262.25

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Solution

The fourth proportional to 3,753.97, 5,182.55 and 2,262.25 is: 3,123.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.97 : 5,182.55 = 2,262.25 : x
  2. Step 2: Convert to fraction form
    3,753.97/5,182.55 = 2,262.25/x
  3. Step 3: Cross multiply
    3,753.97x = 5,182.55 × 2,262.25
  4. Step 4: Simplify right side
    3,753.97x = 11,724,223.74
  5. Step 5: Solve for x
    x = 11,724,223.74/3,753.97
  6. Step 6: Final answer
    x = 3,123.15

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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.