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Finding the Fourth Proportional to 3,517.26, 5,275.98 and 920.22

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Solution

The fourth proportional to 3,517.26, 5,275.98 and 920.22 is: 1,380.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,517.26 : 5,275.98 = 920.22 : x
  2. Step 2: Convert to fraction form
    3,517.26/5,275.98 = 920.22/x
  3. Step 3: Cross multiply
    3,517.26x = 5,275.98 × 920.22
  4. Step 4: Simplify right side
    3,517.26x = 4,855,062.32
  5. Step 5: Solve for x
    x = 4,855,062.32/3,517.26
  6. Step 6: Final answer
    x = 1,380.35

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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.