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Finding the Fourth Proportional to 3,748.42, 5,167.15 and 3,084.11

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Solution

The fourth proportional to 3,748.42, 5,167.15 and 3,084.11 is: 4,251.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,748.42 : 5,167.15 = 3,084.11 : x
  2. Step 2: Convert to fraction form
    3,748.42/5,167.15 = 3,084.11/x
  3. Step 3: Cross multiply
    3,748.42x = 5,167.15 × 3,084.11
  4. Step 4: Simplify right side
    3,748.42x = 15,936,058.99
  5. Step 5: Solve for x
    x = 15,936,058.99/3,748.42
  6. Step 6: Final answer
    x = 4,251.41

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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.