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Finding the Fourth Proportional to 3,891.02, 5,836.50 and 969.31

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Solution

The fourth proportional to 3,891.02, 5,836.50 and 969.31 is: 1,453.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.02 : 5,836.50 = 969.31 : x
  2. Step 2: Convert to fraction form
    3,891.02/5,836.50 = 969.31/x
  3. Step 3: Cross multiply
    3,891.02x = 5,836.50 × 969.31
  4. Step 4: Simplify right side
    3,891.02x = 5,657,377.82
  5. Step 5: Solve for x
    x = 5,657,377.82/3,891.02
  6. Step 6: Final answer
    x = 1,453.96

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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.