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Finding the Fourth Proportional to 3,295.60, 4,947.04 and 2,202.32

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Solution

The fourth proportional to 3,295.60, 4,947.04 and 2,202.32 is: 3,305.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,295.60 : 4,947.04 = 2,202.32 : x
  2. Step 2: Convert to fraction form
    3,295.60/4,947.04 = 2,202.32/x
  3. Step 3: Cross multiply
    3,295.60x = 4,947.04 × 2,202.32
  4. Step 4: Simplify right side
    3,295.60x = 10,894,965.13
  5. Step 5: Solve for x
    x = 10,894,965.13/3,295.60
  6. Step 6: Final answer
    x = 3,305.91

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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.