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Finding the Fourth Proportional to 4,765.60, 7,149.09 and 1,478.96

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Solution

The fourth proportional to 4,765.60, 7,149.09 and 1,478.96 is: 2,218.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,765.60 : 7,149.09 = 1,478.96 : x
  2. Step 2: Convert to fraction form
    4,765.60/7,149.09 = 1,478.96/x
  3. Step 3: Cross multiply
    4,765.60x = 7,149.09 × 1,478.96
  4. Step 4: Simplify right side
    4,765.60x = 10,573,200.27
  5. Step 5: Solve for x
    x = 10,573,200.27/4,765.60
  6. Step 6: Final answer
    x = 2,218.65

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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.