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Finding the Fourth Proportional to 3,869.26, 5,335.54 and 2,297.05

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Solution

The fourth proportional to 3,869.26, 5,335.54 and 2,297.05 is: 3,167.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.26 : 5,335.54 = 2,297.05 : x
  2. Step 2: Convert to fraction form
    3,869.26/5,335.54 = 2,297.05/x
  3. Step 3: Cross multiply
    3,869.26x = 5,335.54 × 2,297.05
  4. Step 4: Simplify right side
    3,869.26x = 12,256,002.16
  5. Step 5: Solve for x
    x = 12,256,002.16/3,869.26
  6. Step 6: Final answer
    x = 3,167.53

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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.