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Finding the Fourth Proportional to 5,690.98, 8,536.14 and 2,132.42

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Solution

The fourth proportional to 5,690.98, 8,536.14 and 2,132.42 is: 3,198.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,690.98 : 8,536.14 = 2,132.42 : x
  2. Step 2: Convert to fraction form
    5,690.98/8,536.14 = 2,132.42/x
  3. Step 3: Cross multiply
    5,690.98x = 8,536.14 × 2,132.42
  4. Step 4: Simplify right side
    5,690.98x = 18,202,635.66
  5. Step 5: Solve for x
    x = 18,202,635.66/5,690.98
  6. Step 6: Final answer
    x = 3,198.51

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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.