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Finding the Fourth Proportional to 3,412.78, 5,118.96 and 2,007.99

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Solution

The fourth proportional to 3,412.78, 5,118.96 and 2,007.99 is: 3,011.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.78 : 5,118.96 = 2,007.99 : x
  2. Step 2: Convert to fraction form
    3,412.78/5,118.96 = 2,007.99/x
  3. Step 3: Cross multiply
    3,412.78x = 5,118.96 × 2,007.99
  4. Step 4: Simplify right side
    3,412.78x = 10,278,820.49
  5. Step 5: Solve for x
    x = 10,278,820.49/3,412.78
  6. Step 6: Final answer
    x = 3,011.86

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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.