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Finding the Fourth Proportional to 3,348.98, 5,009.10 and 2,414.04

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Solution

The fourth proportional to 3,348.98, 5,009.10 and 2,414.04 is: 3,610.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,348.98 : 5,009.10 = 2,414.04 : x
  2. Step 2: Convert to fraction form
    3,348.98/5,009.10 = 2,414.04/x
  3. Step 3: Cross multiply
    3,348.98x = 5,009.10 × 2,414.04
  4. Step 4: Simplify right side
    3,348.98x = 12,092,167.76
  5. Step 5: Solve for x
    x = 12,092,167.76/3,348.98
  6. Step 6: Final answer
    x = 3,610.71

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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.