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Finding the Fourth Proportional to 5,290.97, 7,934.16 and 2,825.24

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Solution

The fourth proportional to 5,290.97, 7,934.16 and 2,825.24 is: 4,236.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,290.97 : 7,934.16 = 2,825.24 : x
  2. Step 2: Convert to fraction form
    5,290.97/7,934.16 = 2,825.24/x
  3. Step 3: Cross multiply
    5,290.97x = 7,934.16 × 2,825.24
  4. Step 4: Simplify right side
    5,290.97x = 22,415,906.20
  5. Step 5: Solve for x
    x = 22,415,906.20/5,290.97
  6. Step 6: Final answer
    x = 4,236.63

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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.