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Finding the Fourth Proportional to 5,249.41, 7,854.67 and 3,863.77

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Solution

The fourth proportional to 5,249.41, 7,854.67 and 3,863.77 is: 5,781.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,249.41 : 7,854.67 = 3,863.77 : x
  2. Step 2: Convert to fraction form
    5,249.41/7,854.67 = 3,863.77/x
  3. Step 3: Cross multiply
    5,249.41x = 7,854.67 × 3,863.77
  4. Step 4: Simplify right side
    5,249.41x = 30,348,638.31
  5. Step 5: Solve for x
    x = 30,348,638.31/5,249.41
  6. Step 6: Final answer
    x = 5,781.34

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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.