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Finding the Fourth Proportional to 5,086.86, 7,630.25 and 3,021.18

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Solution

The fourth proportional to 5,086.86, 7,630.25 and 3,021.18 is: 4,531.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,086.86 : 7,630.25 = 3,021.18 : x
  2. Step 2: Convert to fraction form
    5,086.86/7,630.25 = 3,021.18/x
  3. Step 3: Cross multiply
    5,086.86x = 7,630.25 × 3,021.18
  4. Step 4: Simplify right side
    5,086.86x = 23,052,358.70
  5. Step 5: Solve for x
    x = 23,052,358.70/5,086.86
  6. Step 6: Final answer
    x = 4,531.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.