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Finding the Fourth Proportional to 3,967.87, 5,951.82 and 1,657.75

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Solution

The fourth proportional to 3,967.87, 5,951.82 and 1,657.75 is: 2,486.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.87 : 5,951.82 = 1,657.75 : x
  2. Step 2: Convert to fraction form
    3,967.87/5,951.82 = 1,657.75/x
  3. Step 3: Cross multiply
    3,967.87x = 5,951.82 × 1,657.75
  4. Step 4: Simplify right side
    3,967.87x = 9,866,629.61
  5. Step 5: Solve for x
    x = 9,866,629.61/3,967.87
  6. Step 6: Final answer
    x = 2,486.63

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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.