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Finding the Fourth Proportional to 4,173.74, 5,729.09 and 3,691.07

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Solution

The fourth proportional to 4,173.74, 5,729.09 and 3,691.07 is: 5,066.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,173.74 : 5,729.09 = 3,691.07 : x
  2. Step 2: Convert to fraction form
    4,173.74/5,729.09 = 3,691.07/x
  3. Step 3: Cross multiply
    4,173.74x = 5,729.09 × 3,691.07
  4. Step 4: Simplify right side
    4,173.74x = 21,146,472.23
  5. Step 5: Solve for x
    x = 21,146,472.23/4,173.74
  6. Step 6: Final answer
    x = 5,066.55

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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.