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Finding the Fourth Proportional to 3,859.68, 5,318.65 and 2,678.70

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Solution

The fourth proportional to 3,859.68, 5,318.65 and 2,678.70 is: 3,691.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.68 : 5,318.65 = 2,678.70 : x
  2. Step 2: Convert to fraction form
    3,859.68/5,318.65 = 2,678.70/x
  3. Step 3: Cross multiply
    3,859.68x = 5,318.65 × 2,678.70
  4. Step 4: Simplify right side
    3,859.68x = 14,247,067.76
  5. Step 5: Solve for x
    x = 14,247,067.76/3,859.68
  6. Step 6: Final answer
    x = 3,691.26

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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.