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Finding the Fourth Proportional to 3,901.09, 5,851.24 and 979.40

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Solution

The fourth proportional to 3,901.09, 5,851.24 and 979.40 is: 1,469.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,901.09 : 5,851.24 = 979.40 : x
  2. Step 2: Convert to fraction form
    3,901.09/5,851.24 = 979.40/x
  3. Step 3: Cross multiply
    3,901.09x = 5,851.24 × 979.40
  4. Step 4: Simplify right side
    3,901.09x = 5,730,704.46
  5. Step 5: Solve for x
    x = 5,730,704.46/3,901.09
  6. Step 6: Final answer
    x = 1,469.00

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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.