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Finding the Fourth Proportional to 4,120.52, 5,686.28 and 2,257.52

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Solution

The fourth proportional to 4,120.52, 5,686.28 and 2,257.52 is: 3,115.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,120.52 : 5,686.28 = 2,257.52 : x
  2. Step 2: Convert to fraction form
    4,120.52/5,686.28 = 2,257.52/x
  3. Step 3: Cross multiply
    4,120.52x = 5,686.28 × 2,257.52
  4. Step 4: Simplify right side
    4,120.52x = 12,836,890.83
  5. Step 5: Solve for x
    x = 12,836,890.83/4,120.52
  6. Step 6: Final answer
    x = 3,115.36

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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.