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Finding the Fourth Proportional to 4,959.87, 6,846 and 3,190.83

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Solution

The fourth proportional to 4,959.87, 6,846 and 3,190.83 is: 4,404.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,959.87 : 6,846 = 3,190.83 : x
  2. Step 2: Convert to fraction form
    4,959.87/6,846 = 3,190.83/x
  3. Step 3: Cross multiply
    4,959.87x = 6,846 × 3,190.83
  4. Step 4: Simplify right side
    4,959.87x = 21,844,422.18
  5. Step 5: Solve for x
    x = 21,844,422.18/4,959.87
  6. Step 6: Final answer
    x = 4,404.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.