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Finding the Fourth Proportional to 5,781.75, 7,978.82 and 3,297.75

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Solution

The fourth proportional to 5,781.75, 7,978.82 and 3,297.75 is: 4,550.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781.75 : 7,978.82 = 3,297.75 : x
  2. Step 2: Convert to fraction form
    5,781.75/7,978.82 = 3,297.75/x
  3. Step 3: Cross multiply
    5,781.75x = 7,978.82 × 3,297.75
  4. Step 4: Simplify right side
    5,781.75x = 26,312,137.17
  5. Step 5: Solve for x
    x = 26,312,137.17/5,781.75
  6. Step 6: Final answer
    x = 4,550.90

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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.