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Finding the Fourth Proportional to 5,240.97, 7,232.49 and 2,883.20

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Solution

The fourth proportional to 5,240.97, 7,232.49 and 2,883.20 is: 3,978.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,240.97 : 7,232.49 = 2,883.20 : x
  2. Step 2: Convert to fraction form
    5,240.97/7,232.49 = 2,883.20/x
  3. Step 3: Cross multiply
    5,240.97x = 7,232.49 × 2,883.20
  4. Step 4: Simplify right side
    5,240.97x = 20,852,679.01
  5. Step 5: Solve for x
    x = 20,852,679.01/5,240.97
  6. Step 6: Final answer
    x = 3,978.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.