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Finding the Fourth Proportional to 3,891.02, 5,836.23 and 969.32

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Solution

The fourth proportional to 3,891.02, 5,836.23 and 969.32 is: 1,453.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.02 : 5,836.23 = 969.32 : x
  2. Step 2: Convert to fraction form
    3,891.02/5,836.23 = 969.32/x
  3. Step 3: Cross multiply
    3,891.02x = 5,836.23 × 969.32
  4. Step 4: Simplify right side
    3,891.02x = 5,657,145.28
  5. Step 5: Solve for x
    x = 5,657,145.28/3,891.02
  6. Step 6: Final answer
    x = 1,453.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.