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Finding the Fourth Proportional to 3,900.89, 5,851.51 and 979.22

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Solution

The fourth proportional to 3,900.89, 5,851.51 and 979.22 is: 1,468.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,900.89 : 5,851.51 = 979.22 : x
  2. Step 2: Convert to fraction form
    3,900.89/5,851.51 = 979.22/x
  3. Step 3: Cross multiply
    3,900.89x = 5,851.51 × 979.22
  4. Step 4: Simplify right side
    3,900.89x = 5,729,883.92
  5. Step 5: Solve for x
    x = 5,729,883.92/3,900.89
  6. Step 6: Final answer
    x = 1,468.87

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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.