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Finding the Fourth Proportional to 3,952.80, 5,929.20 and 2,203.20

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Solution

The fourth proportional to 3,952.80, 5,929.20 and 2,203.20 is: 3,304.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.80 : 5,929.20 = 2,203.20 : x
  2. Step 2: Convert to fraction form
    3,952.80/5,929.20 = 2,203.20/x
  3. Step 3: Cross multiply
    3,952.80x = 5,929.20 × 2,203.20
  4. Step 4: Simplify right side
    3,952.80x = 13,063,213.44
  5. Step 5: Solve for x
    x = 13,063,213.44/3,952.80
  6. Step 6: Final answer
    x = 3,304.80

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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.