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Finding the Fourth Proportional to 4,262.68, 5,877.12 and 2,863

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Solution

The fourth proportional to 4,262.68, 5,877.12 and 2,863 is: 3,947.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,262.68 : 5,877.12 = 2,863 : x
  2. Step 2: Convert to fraction form
    4,262.68/5,877.12 = 2,863/x
  3. Step 3: Cross multiply
    4,262.68x = 5,877.12 × 2,863
  4. Step 4: Simplify right side
    4,262.68x = 16,826,194.56
  5. Step 5: Solve for x
    x = 16,826,194.56/4,262.68
  6. Step 6: Final answer
    x = 3,947.33

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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.