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Finding the Fourth Proportional to 3,202.47, 4,805.33 and 1,472.31

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Solution

The fourth proportional to 3,202.47, 4,805.33 and 1,472.31 is: 2,209.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.47 : 4,805.33 = 1,472.31 : x
  2. Step 2: Convert to fraction form
    3,202.47/4,805.33 = 1,472.31/x
  3. Step 3: Cross multiply
    3,202.47x = 4,805.33 × 1,472.31
  4. Step 4: Simplify right side
    3,202.47x = 7,074,928.05
  5. Step 5: Solve for x
    x = 7,074,928.05/3,202.47
  6. Step 6: Final answer
    x = 2,209.21

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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.