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Finding the Fourth Proportional to 3,869.34, 5,339.78 and 2,297.44

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Solution

The fourth proportional to 3,869.34, 5,339.78 and 2,297.44 is: 3,170.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.34 : 5,339.78 = 2,297.44 : x
  2. Step 2: Convert to fraction form
    3,869.34/5,339.78 = 2,297.44/x
  3. Step 3: Cross multiply
    3,869.34x = 5,339.78 × 2,297.44
  4. Step 4: Simplify right side
    3,869.34x = 12,267,824.16
  5. Step 5: Solve for x
    x = 12,267,824.16/3,869.34
  6. Step 6: Final answer
    x = 3,170.52

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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.