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Finding the Fourth Proportional to 3,660.72, 5,486.22 and 3,171.48

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Solution

The fourth proportional to 3,660.72, 5,486.22 and 3,171.48 is: 4,753.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,660.72 : 5,486.22 = 3,171.48 : x
  2. Step 2: Convert to fraction form
    3,660.72/5,486.22 = 3,171.48/x
  3. Step 3: Cross multiply
    3,660.72x = 5,486.22 × 3,171.48
  4. Step 4: Simplify right side
    3,660.72x = 17,399,437.01
  5. Step 5: Solve for x
    x = 17,399,437.01/3,660.72
  6. Step 6: Final answer
    x = 4,753.01

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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.