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Finding the Fourth Proportional to 3,901.46, 5,851.75 and 979.77

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Solution

The fourth proportional to 3,901.46, 5,851.75 and 979.77 is: 1,469.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,901.46 : 5,851.75 = 979.77 : x
  2. Step 2: Convert to fraction form
    3,901.46/5,851.75 = 979.77/x
  3. Step 3: Cross multiply
    3,901.46x = 5,851.75 × 979.77
  4. Step 4: Simplify right side
    3,901.46x = 5,733,344.70
  5. Step 5: Solve for x
    x = 5,733,344.70/3,901.46
  6. Step 6: Final answer
    x = 1,469.54

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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.