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Finding the Fourth Proportional to 3,891.75, 5,370.62 and 2,494.50

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Solution

The fourth proportional to 3,891.75, 5,370.62 and 2,494.50 is: 3,442.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.75 : 5,370.62 = 2,494.50 : x
  2. Step 2: Convert to fraction form
    3,891.75/5,370.62 = 2,494.50/x
  3. Step 3: Cross multiply
    3,891.75x = 5,370.62 × 2,494.50
  4. Step 4: Simplify right side
    3,891.75x = 13,396,999.12
  5. Step 5: Solve for x
    x = 13,396,999.12/3,891.75
  6. Step 6: Final answer
    x = 3,442.41

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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.