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Finding the Fourth Proportional to 3,422.52, 5,129.28 and 1,573.38

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Solution

The fourth proportional to 3,422.52, 5,129.28 and 1,573.38 is: 2,358.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.52 : 5,129.28 = 1,573.38 : x
  2. Step 2: Convert to fraction form
    3,422.52/5,129.28 = 1,573.38/x
  3. Step 3: Cross multiply
    3,422.52x = 5,129.28 × 1,573.38
  4. Step 4: Simplify right side
    3,422.52x = 8,070,306.57
  5. Step 5: Solve for x
    x = 8,070,306.57/3,422.52
  6. Step 6: Final answer
    x = 2,358.00

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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.