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Finding the Fourth Proportional to 3,748.68, 5,171.13 and 2,255.70

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Solution

The fourth proportional to 3,748.68, 5,171.13 and 2,255.70 is: 3,111.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,748.68 : 5,171.13 = 2,255.70 : x
  2. Step 2: Convert to fraction form
    3,748.68/5,171.13 = 2,255.70/x
  3. Step 3: Cross multiply
    3,748.68x = 5,171.13 × 2,255.70
  4. Step 4: Simplify right side
    3,748.68x = 11,664,497.72
  5. Step 5: Solve for x
    x = 11,664,497.72/3,748.68
  6. Step 6: Final answer
    x = 3,111.63

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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.