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Finding the Fourth Proportional to 4,780.96, 7,171.02 and 1,493.68

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Solution

The fourth proportional to 4,780.96, 7,171.02 and 1,493.68 is: 2,240.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,780.96 : 7,171.02 = 1,493.68 : x
  2. Step 2: Convert to fraction form
    4,780.96/7,171.02 = 1,493.68/x
  3. Step 3: Cross multiply
    4,780.96x = 7,171.02 × 1,493.68
  4. Step 4: Simplify right side
    4,780.96x = 10,711,209.15
  5. Step 5: Solve for x
    x = 10,711,209.15/4,780.96
  6. Step 6: Final answer
    x = 2,240.39

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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.