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Finding the Fourth Proportional to 3,742.33, 5,614.50 and 3,334.27

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Solution

The fourth proportional to 3,742.33, 5,614.50 and 3,334.27 is: 5,002.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.33 : 5,614.50 = 3,334.27 : x
  2. Step 2: Convert to fraction form
    3,742.33/5,614.50 = 3,334.27/x
  3. Step 3: Cross multiply
    3,742.33x = 5,614.50 × 3,334.27
  4. Step 4: Simplify right side
    3,742.33x = 18,720,258.92
  5. Step 5: Solve for x
    x = 18,720,258.92/3,742.33
  6. Step 6: Final answer
    x = 5,002.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.