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Finding the Fourth Proportional to 3,814.74, 5,691.39 and 3,398.90

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Solution

The fourth proportional to 3,814.74, 5,691.39 and 3,398.90 is: 5,070.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814.74 : 5,691.39 = 3,398.90 : x
  2. Step 2: Convert to fraction form
    3,814.74/5,691.39 = 3,398.90/x
  3. Step 3: Cross multiply
    3,814.74x = 5,691.39 × 3,398.90
  4. Step 4: Simplify right side
    3,814.74x = 19,344,448.48
  5. Step 5: Solve for x
    x = 19,344,448.48/3,814.74
  6. Step 6: Final answer
    x = 5,070.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.