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Finding the Fourth Proportional to 4,167.68, 6,251.41 and 1,356.50

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Solution

The fourth proportional to 4,167.68, 6,251.41 and 1,356.50 is: 2,034.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,167.68 : 6,251.41 = 1,356.50 : x
  2. Step 2: Convert to fraction form
    4,167.68/6,251.41 = 1,356.50/x
  3. Step 3: Cross multiply
    4,167.68x = 6,251.41 × 1,356.50
  4. Step 4: Simplify right side
    4,167.68x = 8,480,037.67
  5. Step 5: Solve for x
    x = 8,480,037.67/4,167.68
  6. Step 6: Final answer
    x = 2,034.71

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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.