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Finding the Fourth Proportional to 3,891.11, 5,836.62 and 969.41

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Solution

The fourth proportional to 3,891.11, 5,836.62 and 969.41 is: 1,454.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.11 : 5,836.62 = 969.41 : x
  2. Step 2: Convert to fraction form
    3,891.11/5,836.62 = 969.41/x
  3. Step 3: Cross multiply
    3,891.11x = 5,836.62 × 969.41
  4. Step 4: Simplify right side
    3,891.11x = 5,658,048.61
  5. Step 5: Solve for x
    x = 5,658,048.61/3,891.11
  6. Step 6: Final answer
    x = 1,454.10

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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.