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Finding the Fourth Proportional to 5,711.14, 7,881.30 and 3,352.82

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Solution

The fourth proportional to 5,711.14, 7,881.30 and 3,352.82 is: 4,626.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,711.14 : 7,881.30 = 3,352.82 : x
  2. Step 2: Convert to fraction form
    5,711.14/7,881.30 = 3,352.82/x
  3. Step 3: Cross multiply
    5,711.14x = 7,881.30 × 3,352.82
  4. Step 4: Simplify right side
    5,711.14x = 26,424,580.27
  5. Step 5: Solve for x
    x = 26,424,580.27/5,711.14
  6. Step 6: Final answer
    x = 4,626.85

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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.