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Finding the Fourth Proportional to 4,992.71, 7,489.08 and 1,294.68

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Solution

The fourth proportional to 4,992.71, 7,489.08 and 1,294.68 is: 1,942.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,992.71 : 7,489.08 = 1,294.68 : x
  2. Step 2: Convert to fraction form
    4,992.71/7,489.08 = 1,294.68/x
  3. Step 3: Cross multiply
    4,992.71x = 7,489.08 × 1,294.68
  4. Step 4: Simplify right side
    4,992.71x = 9,695,924.65
  5. Step 5: Solve for x
    x = 9,695,924.65/4,992.71
  6. Step 6: Final answer
    x = 1,942.02

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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.