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Finding the Fourth Proportional to 3,757.25, 5,182.92 and 2,264.28

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Solution

The fourth proportional to 3,757.25, 5,182.92 and 2,264.28 is: 3,123.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.25 : 5,182.92 = 2,264.28 : x
  2. Step 2: Convert to fraction form
    3,757.25/5,182.92 = 2,264.28/x
  3. Step 3: Cross multiply
    3,757.25x = 5,182.92 × 2,264.28
  4. Step 4: Simplify right side
    3,757.25x = 11,735,582.10
  5. Step 5: Solve for x
    x = 11,735,582.10/3,757.25
  6. Step 6: Final answer
    x = 3,123.45

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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.