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Finding the Fourth Proportional to 3,836.52, 5,294.66 and 2,264.20

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Solution

The fourth proportional to 3,836.52, 5,294.66 and 2,264.20 is: 3,124.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836.52 : 5,294.66 = 2,264.20 : x
  2. Step 2: Convert to fraction form
    3,836.52/5,294.66 = 2,264.20/x
  3. Step 3: Cross multiply
    3,836.52x = 5,294.66 × 2,264.20
  4. Step 4: Simplify right side
    3,836.52x = 11,988,169.17
  5. Step 5: Solve for x
    x = 11,988,169.17/3,836.52
  6. Step 6: Final answer
    x = 3,124.75

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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.