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Finding the Fourth Proportional to 3,742.08, 5,614.13 and 3,334.02

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Solution

The fourth proportional to 3,742.08, 5,614.13 and 3,334.02 is: 5,001.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.08 : 5,614.13 = 3,334.02 : x
  2. Step 2: Convert to fraction form
    3,742.08/5,614.13 = 3,334.02/x
  3. Step 3: Cross multiply
    3,742.08x = 5,614.13 × 3,334.02
  4. Step 4: Simplify right side
    3,742.08x = 18,717,605.03
  5. Step 5: Solve for x
    x = 18,717,605.03/3,742.08
  6. Step 6: Final answer
    x = 5,001.93

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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.