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Finding the Fourth Proportional to 3,540.78, 5,306.38 and 1,348.31

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Solution

The fourth proportional to 3,540.78, 5,306.38 and 1,348.31 is: 2,020.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,540.78 : 5,306.38 = 1,348.31 : x
  2. Step 2: Convert to fraction form
    3,540.78/5,306.38 = 1,348.31/x
  3. Step 3: Cross multiply
    3,540.78x = 5,306.38 × 1,348.31
  4. Step 4: Simplify right side
    3,540.78x = 7,154,658.99
  5. Step 5: Solve for x
    x = 7,154,658.99/3,540.78
  6. Step 6: Final answer
    x = 2,020.65

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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.