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Finding the Fourth Proportional to 3,739.69, 5,159.69 and 2,414.15

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Solution

The fourth proportional to 3,739.69, 5,159.69 and 2,414.15 is: 3,330.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,739.69 : 5,159.69 = 2,414.15 : x
  2. Step 2: Convert to fraction form
    3,739.69/5,159.69 = 2,414.15/x
  3. Step 3: Cross multiply
    3,739.69x = 5,159.69 × 2,414.15
  4. Step 4: Simplify right side
    3,739.69x = 12,456,239.82
  5. Step 5: Solve for x
    x = 12,456,239.82/3,739.69
  6. Step 6: Final answer
    x = 3,330.83

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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.