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Finding the Fourth Proportional to 3,209.52, 4,429.10 and 1,793.12

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Solution

The fourth proportional to 3,209.52, 4,429.10 and 1,793.12 is: 2,474.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.52 : 4,429.10 = 1,793.12 : x
  2. Step 2: Convert to fraction form
    3,209.52/4,429.10 = 1,793.12/x
  3. Step 3: Cross multiply
    3,209.52x = 4,429.10 × 1,793.12
  4. Step 4: Simplify right side
    3,209.52x = 7,941,907.79
  5. Step 5: Solve for x
    x = 7,941,907.79/3,209.52
  6. Step 6: Final answer
    x = 2,474.48

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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.