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Finding the Fourth Proportional to 3,447.26, 4,725.14 and 3,398.66

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Solution

The fourth proportional to 3,447.26, 4,725.14 and 3,398.66 is: 4,658.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.26 : 4,725.14 = 3,398.66 : x
  2. Step 2: Convert to fraction form
    3,447.26/4,725.14 = 3,398.66/x
  3. Step 3: Cross multiply
    3,447.26x = 4,725.14 × 3,398.66
  4. Step 4: Simplify right side
    3,447.26x = 16,059,121.41
  5. Step 5: Solve for x
    x = 16,059,121.41/3,447.26
  6. Step 6: Final answer
    x = 4,658.52

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.