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Finding the Fourth Proportional to 3,531.76, 5,297.24 and 934.90

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Solution

The fourth proportional to 3,531.76, 5,297.24 and 934.90 is: 1,402.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,531.76 : 5,297.24 = 934.90 : x
  2. Step 2: Convert to fraction form
    3,531.76/5,297.24 = 934.90/x
  3. Step 3: Cross multiply
    3,531.76x = 5,297.24 × 934.90
  4. Step 4: Simplify right side
    3,531.76x = 4,952,389.68
  5. Step 5: Solve for x
    x = 4,952,389.68/3,531.76
  6. Step 6: Final answer
    x = 1,402.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.