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Finding the Fourth Proportional to 5,294.87, 7,311.57 and 3,308.82

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Solution

The fourth proportional to 5,294.87, 7,311.57 and 3,308.82 is: 4,569.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.87 : 7,311.57 = 3,308.82 : x
  2. Step 2: Convert to fraction form
    5,294.87/7,311.57 = 3,308.82/x
  3. Step 3: Cross multiply
    5,294.87x = 7,311.57 × 3,308.82
  4. Step 4: Simplify right side
    5,294.87x = 24,192,629.22
  5. Step 5: Solve for x
    x = 24,192,629.22/5,294.87
  6. Step 6: Final answer
    x = 4,569.07

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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.