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Finding the Fourth Proportional to 4,174.01, 5,729.43 and 3,691.32

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Solution

The fourth proportional to 4,174.01, 5,729.43 and 3,691.32 is: 5,066.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,174.01 : 5,729.43 = 3,691.32 : x
  2. Step 2: Convert to fraction form
    4,174.01/5,729.43 = 3,691.32/x
  3. Step 3: Cross multiply
    4,174.01x = 5,729.43 × 3,691.32
  4. Step 4: Simplify right side
    4,174.01x = 21,149,159.55
  5. Step 5: Solve for x
    x = 21,149,159.55/4,174.01
  6. Step 6: Final answer
    x = 5,066.87

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.