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Finding the Fourth Proportional to 3,843.95, 5,766.83 and 1,246.88

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Solution

The fourth proportional to 3,843.95, 5,766.83 and 1,246.88 is: 1,870.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.95 : 5,766.83 = 1,246.88 : x
  2. Step 2: Convert to fraction form
    3,843.95/5,766.83 = 1,246.88/x
  3. Step 3: Cross multiply
    3,843.95x = 5,766.83 × 1,246.88
  4. Step 4: Simplify right side
    3,843.95x = 7,190,509.92
  5. Step 5: Solve for x
    x = 7,190,509.92/3,843.95
  6. Step 6: Final answer
    x = 1,870.61

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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.