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Finding the Fourth Proportional to 5,170.96, 7,135.88 and 2,813.10

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Solution

The fourth proportional to 5,170.96, 7,135.88 and 2,813.10 is: 3,882.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,170.96 : 7,135.88 = 2,813.10 : x
  2. Step 2: Convert to fraction form
    5,170.96/7,135.88 = 2,813.10/x
  3. Step 3: Cross multiply
    5,170.96x = 7,135.88 × 2,813.10
  4. Step 4: Simplify right side
    5,170.96x = 20,073,944.03
  5. Step 5: Solve for x
    x = 20,073,944.03/5,170.96
  6. Step 6: Final answer
    x = 3,882.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.