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Finding the Fourth Proportional to 3,932.74, 5,865.89 and 3,704.32

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Solution

The fourth proportional to 3,932.74, 5,865.89 and 3,704.32 is: 5,525.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,932.74 : 5,865.89 = 3,704.32 : x
  2. Step 2: Convert to fraction form
    3,932.74/5,865.89 = 3,704.32/x
  3. Step 3: Cross multiply
    3,932.74x = 5,865.89 × 3,704.32
  4. Step 4: Simplify right side
    3,932.74x = 21,729,133.64
  5. Step 5: Solve for x
    x = 21,729,133.64/3,932.74
  6. Step 6: Final answer
    x = 5,525.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.