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Finding the Fourth Proportional to 5,824.41, 8,037.41 and 3,171.66

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Solution

The fourth proportional to 5,824.41, 8,037.41 and 3,171.66 is: 4,376.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,824.41 : 8,037.41 = 3,171.66 : x
  2. Step 2: Convert to fraction form
    5,824.41/8,037.41 = 3,171.66/x
  3. Step 3: Cross multiply
    5,824.41x = 8,037.41 × 3,171.66
  4. Step 4: Simplify right side
    5,824.41x = 25,491,915.94
  5. Step 5: Solve for x
    x = 25,491,915.94/5,824.41
  6. Step 6: Final answer
    x = 4,376.74

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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.