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Finding the Fourth Proportional to 3,742.46, 5,164.59 and 2,251.25

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Solution

The fourth proportional to 3,742.46, 5,164.59 and 2,251.25 is: 3,106.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.46 : 5,164.59 = 2,251.25 : x
  2. Step 2: Convert to fraction form
    3,742.46/5,164.59 = 2,251.25/x
  3. Step 3: Cross multiply
    3,742.46x = 5,164.59 × 2,251.25
  4. Step 4: Simplify right side
    3,742.46x = 11,626,757.41
  5. Step 5: Solve for x
    x = 11,626,757.41/3,742.46
  6. Step 6: Final answer
    x = 3,106.71

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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.