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Finding the Fourth Proportional to 4,203.20, 6,306.60 and 2,151.20

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Solution

The fourth proportional to 4,203.20, 6,306.60 and 2,151.20 is: 3,227.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,203.20 : 6,306.60 = 2,151.20 : x
  2. Step 2: Convert to fraction form
    4,203.20/6,306.60 = 2,151.20/x
  3. Step 3: Cross multiply
    4,203.20x = 6,306.60 × 2,151.20
  4. Step 4: Simplify right side
    4,203.20x = 13,566,757.92
  5. Step 5: Solve for x
    x = 13,566,757.92/4,203.20
  6. Step 6: Final answer
    x = 3,227.72

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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.