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Finding the Fourth Proportional to 5,254.75, 7,882.97 and 1,968.10

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Solution

The fourth proportional to 5,254.75, 7,882.97 and 1,968.10 is: 2,952.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,254.75 : 7,882.97 = 1,968.10 : x
  2. Step 2: Convert to fraction form
    5,254.75/7,882.97 = 1,968.10/x
  3. Step 3: Cross multiply
    5,254.75x = 7,882.97 × 1,968.10
  4. Step 4: Simplify right side
    5,254.75x = 15,514,454.78
  5. Step 5: Solve for x
    x = 15,514,454.78/5,254.75
  6. Step 6: Final answer
    x = 2,952.46

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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.