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Finding the Fourth Proportional to 5,716.97, 7,891.80 and 4,144.76

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Solution

The fourth proportional to 5,716.97, 7,891.80 and 4,144.76 is: 5,721.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,716.97 : 7,891.80 = 4,144.76 : x
  2. Step 2: Convert to fraction form
    5,716.97/7,891.80 = 4,144.76/x
  3. Step 3: Cross multiply
    5,716.97x = 7,891.80 × 4,144.76
  4. Step 4: Simplify right side
    5,716.97x = 32,709,616.97
  5. Step 5: Solve for x
    x = 32,709,616.97/5,716.97
  6. Step 6: Final answer
    x = 5,721.50

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.