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Finding the Fourth Proportional to 3,422.66, 5,132.12 and 1,082.00

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Solution

The fourth proportional to 3,422.66, 5,132.12 and 1,082.00 is: 1,622.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.66 : 5,132.12 = 1,082.00 : x
  2. Step 2: Convert to fraction form
    3,422.66/5,132.12 = 1,082.00/x
  3. Step 3: Cross multiply
    3,422.66x = 5,132.12 × 1,082.00
  4. Step 4: Simplify right side
    3,422.66x = 5,552,932.78
  5. Step 5: Solve for x
    x = 5,552,932.78/3,422.66
  6. Step 6: Final answer
    x = 1,622.41

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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.