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Finding the Fourth Proportional to 3,948.72, 5,449.52 and 2,270.65

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Solution

The fourth proportional to 3,948.72, 5,449.52 and 2,270.65 is: 3,133.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,948.72 : 5,449.52 = 2,270.65 : x
  2. Step 2: Convert to fraction form
    3,948.72/5,449.52 = 2,270.65/x
  3. Step 3: Cross multiply
    3,948.72x = 5,449.52 × 2,270.65
  4. Step 4: Simplify right side
    3,948.72x = 12,373,938.89
  5. Step 5: Solve for x
    x = 12,373,938.89/3,948.72
  6. Step 6: Final answer
    x = 3,133.66

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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.