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Finding the Fourth Proportional to 2,947.92, 4,416.39 and 2,488.56

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Solution

The fourth proportional to 2,947.92, 4,416.39 and 2,488.56 is: 3,728.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947.92 : 4,416.39 = 2,488.56 : x
  2. Step 2: Convert to fraction form
    2,947.92/4,416.39 = 2,488.56/x
  3. Step 3: Cross multiply
    2,947.92x = 4,416.39 × 2,488.56
  4. Step 4: Simplify right side
    2,947.92x = 10,990,451.50
  5. Step 5: Solve for x
    x = 10,990,451.50/2,947.92
  6. Step 6: Final answer
    x = 3,728.21

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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.