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Finding the Fourth Proportional to 3,894.15, 5,841.27 and 2,249.70

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Solution

The fourth proportional to 3,894.15, 5,841.27 and 2,249.70 is: 3,374.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.15 : 5,841.27 = 2,249.70 : x
  2. Step 2: Convert to fraction form
    3,894.15/5,841.27 = 2,249.70/x
  3. Step 3: Cross multiply
    3,894.15x = 5,841.27 × 2,249.70
  4. Step 4: Simplify right side
    3,894.15x = 13,141,105.12
  5. Step 5: Solve for x
    x = 13,141,105.12/3,894.15
  6. Step 6: Final answer
    x = 3,374.58

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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.