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Finding the Fourth Proportional to 5,915.61, 8,163.95 and 3,431.61

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Solution

The fourth proportional to 5,915.61, 8,163.95 and 3,431.61 is: 4,735.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,915.61 : 8,163.95 = 3,431.61 : x
  2. Step 2: Convert to fraction form
    5,915.61/8,163.95 = 3,431.61/x
  3. Step 3: Cross multiply
    5,915.61x = 8,163.95 × 3,431.61
  4. Step 4: Simplify right side
    5,915.61x = 28,015,475.30
  5. Step 5: Solve for x
    x = 28,015,475.30/5,915.61
  6. Step 6: Final answer
    x = 4,735.86

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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.