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Finding the Fourth Proportional to 5,391.34, 8,084.90 and 1,642.31

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Solution

The fourth proportional to 5,391.34, 8,084.90 and 1,642.31 is: 2,462.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,391.34 : 8,084.90 = 1,642.31 : x
  2. Step 2: Convert to fraction form
    5,391.34/8,084.90 = 1,642.31/x
  3. Step 3: Cross multiply
    5,391.34x = 8,084.90 × 1,642.31
  4. Step 4: Simplify right side
    5,391.34x = 13,277,912.12
  5. Step 5: Solve for x
    x = 13,277,912.12/5,391.34
  6. Step 6: Final answer
    x = 2,462.82

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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.