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Finding the Fourth Proportional to 3,439.52, 4,745.52 and 2,042.40

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Solution

The fourth proportional to 3,439.52, 4,745.52 and 2,042.40 is: 2,817.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,439.52 : 4,745.52 = 2,042.40 : x
  2. Step 2: Convert to fraction form
    3,439.52/4,745.52 = 2,042.40/x
  3. Step 3: Cross multiply
    3,439.52x = 4,745.52 × 2,042.40
  4. Step 4: Simplify right side
    3,439.52x = 9,692,250.05
  5. Step 5: Solve for x
    x = 9,692,250.05/3,439.52
  6. Step 6: Final answer
    x = 2,817.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.