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Finding the Fourth Proportional to 5,759.24, 7,952.33 and 3,872.48

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Solution

The fourth proportional to 5,759.24, 7,952.33 and 3,872.48 is: 5,347.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,759.24 : 7,952.33 = 3,872.48 : x
  2. Step 2: Convert to fraction form
    5,759.24/7,952.33 = 3,872.48/x
  3. Step 3: Cross multiply
    5,759.24x = 7,952.33 × 3,872.48
  4. Step 4: Simplify right side
    5,759.24x = 30,795,268.44
  5. Step 5: Solve for x
    x = 30,795,268.44/5,759.24
  6. Step 6: Final answer
    x = 5,347.10

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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.