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Finding the Fourth Proportional to 3,878.27, 5,817.71 and 3,421.43

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Solution

The fourth proportional to 3,878.27, 5,817.71 and 3,421.43 is: 5,132.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.27 : 5,817.71 = 3,421.43 : x
  2. Step 2: Convert to fraction form
    3,878.27/5,817.71 = 3,421.43/x
  3. Step 3: Cross multiply
    3,878.27x = 5,817.71 × 3,421.43
  4. Step 4: Simplify right side
    3,878.27x = 19,904,887.53
  5. Step 5: Solve for x
    x = 19,904,887.53/3,878.27
  6. Step 6: Final answer
    x = 5,132.41

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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.