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Finding the Fourth Proportional to 3,891.57, 5,837.34 and 969.88

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Solution

The fourth proportional to 3,891.57, 5,837.34 and 969.88 is: 1,454.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.57 : 5,837.34 = 969.88 : x
  2. Step 2: Convert to fraction form
    3,891.57/5,837.34 = 969.88/x
  3. Step 3: Cross multiply
    3,891.57x = 5,837.34 × 969.88
  4. Step 4: Simplify right side
    3,891.57x = 5,661,519.32
  5. Step 5: Solve for x
    x = 5,661,519.32/3,891.57
  6. Step 6: Final answer
    x = 1,454.82

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1.5x scale

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.