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Finding the Fourth Proportional to 4,780.86, 7,171.29 and 1,493.97

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Solution

The fourth proportional to 4,780.86, 7,171.29 and 1,493.97 is: 2,240.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,780.86 : 7,171.29 = 1,493.97 : x
  2. Step 2: Convert to fraction form
    4,780.86/7,171.29 = 1,493.97/x
  3. Step 3: Cross multiply
    4,780.86x = 7,171.29 × 1,493.97
  4. Step 4: Simplify right side
    4,780.86x = 10,713,665.23
  5. Step 5: Solve for x
    x = 10,713,665.23/4,780.86
  6. Step 6: Final answer
    x = 2,240.95

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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.