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Finding the Fourth Proportional to 4,777.29, 7,166.67 and 1,489.68

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Solution

The fourth proportional to 4,777.29, 7,166.67 and 1,489.68 is: 2,234.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,777.29 : 7,166.67 = 1,489.68 : x
  2. Step 2: Convert to fraction form
    4,777.29/7,166.67 = 1,489.68/x
  3. Step 3: Cross multiply
    4,777.29x = 7,166.67 × 1,489.68
  4. Step 4: Simplify right side
    4,777.29x = 10,676,044.97
  5. Step 5: Solve for x
    x = 10,676,044.97/4,777.29
  6. Step 6: Final answer
    x = 2,234.75

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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.