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Finding the Fourth Proportional to 4,120.68, 5,686.56 and 2,257.68

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Solution

The fourth proportional to 4,120.68, 5,686.56 and 2,257.68 is: 3,115.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,120.68 : 5,686.56 = 2,257.68 : x
  2. Step 2: Convert to fraction form
    4,120.68/5,686.56 = 2,257.68/x
  3. Step 3: Cross multiply
    4,120.68x = 5,686.56 × 2,257.68
  4. Step 4: Simplify right side
    4,120.68x = 12,838,432.78
  5. Step 5: Solve for x
    x = 12,838,432.78/4,120.68
  6. Step 6: Final answer
    x = 3,115.61

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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.