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Finding the Fourth Proportional to 3,246.62, 4,863.18 and 1,947.38

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Solution

The fourth proportional to 3,246.62, 4,863.18 and 1,947.38 is: 2,917.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,246.62 : 4,863.18 = 1,947.38 : x
  2. Step 2: Convert to fraction form
    3,246.62/4,863.18 = 1,947.38/x
  3. Step 3: Cross multiply
    3,246.62x = 4,863.18 × 1,947.38
  4. Step 4: Simplify right side
    3,246.62x = 9,470,459.47
  5. Step 5: Solve for x
    x = 9,470,459.47/3,246.62
  6. Step 6: Final answer
    x = 2,917.02

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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.