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Finding the Fourth Proportional to 5,168.68, 7,134.34 and 3,513.64

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Solution

The fourth proportional to 5,168.68, 7,134.34 and 3,513.64 is: 4,849.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,168.68 : 7,134.34 = 3,513.64 : x
  2. Step 2: Convert to fraction form
    5,168.68/7,134.34 = 3,513.64/x
  3. Step 3: Cross multiply
    5,168.68x = 7,134.34 × 3,513.64
  4. Step 4: Simplify right side
    5,168.68x = 25,067,502.40
  5. Step 5: Solve for x
    x = 25,067,502.40/5,168.68
  6. Step 6: Final answer
    x = 4,849.88

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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.