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Finding the Fourth Proportional to 3,742.39, 5,167.25 and 3,000.43

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Solution

The fourth proportional to 3,742.39, 5,167.25 and 3,000.43 is: 4,142.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.39 : 5,167.25 = 3,000.43 : x
  2. Step 2: Convert to fraction form
    3,742.39/5,167.25 = 3,000.43/x
  3. Step 3: Cross multiply
    3,742.39x = 5,167.25 × 3,000.43
  4. Step 4: Simplify right side
    3,742.39x = 15,503,971.92
  5. Step 5: Solve for x
    x = 15,503,971.92/3,742.39
  6. Step 6: Final answer
    x = 4,142.80

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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.