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Finding the Fourth Proportional to 4,115.68, 5,679.78 and 2,252.68

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Solution

The fourth proportional to 4,115.68, 5,679.78 and 2,252.68 is: 3,108.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,115.68 : 5,679.78 = 2,252.68 : x
  2. Step 2: Convert to fraction form
    4,115.68/5,679.78 = 2,252.68/x
  3. Step 3: Cross multiply
    4,115.68x = 5,679.78 × 2,252.68
  4. Step 4: Simplify right side
    4,115.68x = 12,794,726.81
  5. Step 5: Solve for x
    x = 12,794,726.81/4,115.68
  6. Step 6: Final answer
    x = 3,108.78

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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.