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Finding the Fourth Proportional to 3,275.68, 4,514.88 and 2,282.80

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Solution

The fourth proportional to 3,275.68, 4,514.88 and 2,282.80 is: 3,146.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,275.68 : 4,514.88 = 2,282.80 : x
  2. Step 2: Convert to fraction form
    3,275.68/4,514.88 = 2,282.80/x
  3. Step 3: Cross multiply
    3,275.68x = 4,514.88 × 2,282.80
  4. Step 4: Simplify right side
    3,275.68x = 10,306,568.06
  5. Step 5: Solve for x
    x = 10,306,568.06/3,275.68
  6. Step 6: Final answer
    x = 3,146.39

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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.