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Finding the Fourth Proportional to 3,948.70, 5,449.53 and 2,270.38

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Solution

The fourth proportional to 3,948.70, 5,449.53 and 2,270.38 is: 3,133.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,948.70 : 5,449.53 = 2,270.38 : x
  2. Step 2: Convert to fraction form
    3,948.70/5,449.53 = 2,270.38/x
  3. Step 3: Cross multiply
    3,948.70x = 5,449.53 × 2,270.38
  4. Step 4: Simplify right side
    3,948.70x = 12,372,503.92
  5. Step 5: Solve for x
    x = 12,372,503.92/3,948.70
  6. Step 6: Final answer
    x = 3,133.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.