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Finding the Fourth Proportional to 5,230.55, 7,845.82 and 3,284.12

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Solution

The fourth proportional to 5,230.55, 7,845.82 and 3,284.12 is: 4,926.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230.55 : 7,845.82 = 3,284.12 : x
  2. Step 2: Convert to fraction form
    5,230.55/7,845.82 = 3,284.12/x
  3. Step 3: Cross multiply
    5,230.55x = 7,845.82 × 3,284.12
  4. Step 4: Simplify right side
    5,230.55x = 25,766,625.78
  5. Step 5: Solve for x
    x = 25,766,625.78/5,230.55
  6. Step 6: Final answer
    x = 4,926.18

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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.