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Finding the Fourth Proportional to 3,876.77, 5,349.93 and 2,198.50

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Solution

The fourth proportional to 3,876.77, 5,349.93 and 2,198.50 is: 3,033.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.77 : 5,349.93 = 2,198.50 : x
  2. Step 2: Convert to fraction form
    3,876.77/5,349.93 = 2,198.50/x
  3. Step 3: Cross multiply
    3,876.77x = 5,349.93 × 2,198.50
  4. Step 4: Simplify right side
    3,876.77x = 11,761,821.11
  5. Step 5: Solve for x
    x = 11,761,821.11/3,876.77
  6. Step 6: Final answer
    x = 3,033.92

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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.