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Finding the Fourth Proportional to 3,531.27, 5,297.09 and 934.23

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Solution

The fourth proportional to 3,531.27, 5,297.09 and 934.23 is: 1,401.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,531.27 : 5,297.09 = 934.23 : x
  2. Step 2: Convert to fraction form
    3,531.27/5,297.09 = 934.23/x
  3. Step 3: Cross multiply
    3,531.27x = 5,297.09 × 934.23
  4. Step 4: Simplify right side
    3,531.27x = 4,948,695.72
  5. Step 5: Solve for x
    x = 4,948,695.72/3,531.27
  6. Step 6: Final answer
    x = 1,401.39

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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.