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Finding the Fourth Proportional to 3,494.44, 5,248.86 and 3,377.80

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Solution

The fourth proportional to 3,494.44, 5,248.86 and 3,377.80 is: 5,073.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.44 : 5,248.86 = 3,377.80 : x
  2. Step 2: Convert to fraction form
    3,494.44/5,248.86 = 3,377.80/x
  3. Step 3: Cross multiply
    3,494.44x = 5,248.86 × 3,377.80
  4. Step 4: Simplify right side
    3,494.44x = 17,729,599.31
  5. Step 5: Solve for x
    x = 17,729,599.31/3,494.44
  6. Step 6: Final answer
    x = 5,073.66

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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.