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Finding the Fourth Proportional to 5,813.57, 8,020.90 and 3,295.48

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Solution

The fourth proportional to 5,813.57, 8,020.90 and 3,295.48 is: 4,546.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,813.57 : 8,020.90 = 3,295.48 : x
  2. Step 2: Convert to fraction form
    5,813.57/8,020.90 = 3,295.48/x
  3. Step 3: Cross multiply
    5,813.57x = 8,020.90 × 3,295.48
  4. Step 4: Simplify right side
    5,813.57x = 26,432,715.53
  5. Step 5: Solve for x
    x = 26,432,715.53/5,813.57
  6. Step 6: Final answer
    x = 4,546.73

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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.