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Finding the Fourth Proportional to 3,891.45, 5,837.18 and 969.75

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Solution

The fourth proportional to 3,891.45, 5,837.18 and 969.75 is: 1,454.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.45 : 5,837.18 = 969.75 : x
  2. Step 2: Convert to fraction form
    3,891.45/5,837.18 = 969.75/x
  3. Step 3: Cross multiply
    3,891.45x = 5,837.18 × 969.75
  4. Step 4: Simplify right side
    3,891.45x = 5,660,600.46
  5. Step 5: Solve for x
    x = 5,660,600.46/3,891.45
  6. Step 6: Final answer
    x = 1,454.63

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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.