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Finding the Fourth Proportional to 5,772.97, 8,659.30 and 1,613.26

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Solution

The fourth proportional to 5,772.97, 8,659.30 and 1,613.26 is: 2,419.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,772.97 : 8,659.30 = 1,613.26 : x
  2. Step 2: Convert to fraction form
    5,772.97/8,659.30 = 1,613.26/x
  3. Step 3: Cross multiply
    5,772.97x = 8,659.30 × 1,613.26
  4. Step 4: Simplify right side
    5,772.97x = 13,969,694.25
  5. Step 5: Solve for x
    x = 13,969,694.25/5,772.97
  6. Step 6: Final answer
    x = 2,419.85

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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.