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Finding the Fourth Proportional to 3,531.67, 5,297.46 and 863.28

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Solution

The fourth proportional to 3,531.67, 5,297.46 and 863.28 is: 1,294.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,531.67 : 5,297.46 = 863.28 : x
  2. Step 2: Convert to fraction form
    3,531.67/5,297.46 = 863.28/x
  3. Step 3: Cross multiply
    3,531.67x = 5,297.46 × 863.28
  4. Step 4: Simplify right side
    3,531.67x = 4,573,209.00
  5. Step 5: Solve for x
    x = 4,573,209.00/3,531.67
  6. Step 6: Final answer
    x = 1,294.91

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1.5x scale

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.