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Finding the Fourth Proportional to 5,086.28, 7,630.86 and 2,165

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Solution

The fourth proportional to 5,086.28, 7,630.86 and 2,165 is: 3,248.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,086.28 : 7,630.86 = 2,165 : x
  2. Step 2: Convert to fraction form
    5,086.28/7,630.86 = 2,165/x
  3. Step 3: Cross multiply
    5,086.28x = 7,630.86 × 2,165
  4. Step 4: Simplify right side
    5,086.28x = 16,520,811.90
  5. Step 5: Solve for x
    x = 16,520,811.90/5,086.28
  6. Step 6: Final answer
    x = 3,248.11

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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.