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Finding the Fourth Proportional to 3,293.20, 4,930.20 and 2,947.60

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Solution

The fourth proportional to 3,293.20, 4,930.20 and 2,947.60 is: 4,412.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,293.20 : 4,930.20 = 2,947.60 : x
  2. Step 2: Convert to fraction form
    3,293.20/4,930.20 = 2,947.60/x
  3. Step 3: Cross multiply
    3,293.20x = 4,930.20 × 2,947.60
  4. Step 4: Simplify right side
    3,293.20x = 14,532,257.52
  5. Step 5: Solve for x
    x = 14,532,257.52/3,293.20
  6. Step 6: Final answer
    x = 4,412.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.