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Finding the Fourth Proportional to 3,227.28, 4,842.54 and 2,446.98

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Solution

The fourth proportional to 3,227.28, 4,842.54 and 2,446.98 is: 3,671.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,227.28 : 4,842.54 = 2,446.98 : x
  2. Step 2: Convert to fraction form
    3,227.28/4,842.54 = 2,446.98/x
  3. Step 3: Cross multiply
    3,227.28x = 4,842.54 × 2,446.98
  4. Step 4: Simplify right side
    3,227.28x = 11,849,598.53
  5. Step 5: Solve for x
    x = 11,849,598.53/3,227.28
  6. Step 6: Final answer
    x = 3,671.70

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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.