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Finding the Fourth Proportional to 3,891.90, 5,823.24 and 3,680.90

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Solution

The fourth proportional to 3,891.90, 5,823.24 and 3,680.90 is: 5,507.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.90 : 5,823.24 = 3,680.90 : x
  2. Step 2: Convert to fraction form
    3,891.90/5,823.24 = 3,680.90/x
  3. Step 3: Cross multiply
    3,891.90x = 5,823.24 × 3,680.90
  4. Step 4: Simplify right side
    3,891.90x = 21,434,716.60
  5. Step 5: Solve for x
    x = 21,434,716.60/3,891.90
  6. Step 6: Final answer
    x = 5,507.52

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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.