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Finding the Fourth Proportional to 5,067.85, 6,990.82 and 2,971.57

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Solution

The fourth proportional to 5,067.85, 6,990.82 and 2,971.57 is: 4,099.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,067.85 : 6,990.82 = 2,971.57 : x
  2. Step 2: Convert to fraction form
    5,067.85/6,990.82 = 2,971.57/x
  3. Step 3: Cross multiply
    5,067.85x = 6,990.82 × 2,971.57
  4. Step 4: Simplify right side
    5,067.85x = 20,773,710.99
  5. Step 5: Solve for x
    x = 20,773,710.99/5,067.85
  6. Step 6: Final answer
    x = 4,099.12

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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.