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Finding the Fourth Proportional to 5,736.04, 7,915.11 and 3,217.63

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Solution

The fourth proportional to 5,736.04, 7,915.11 and 3,217.63 is: 4,439.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,736.04 : 7,915.11 = 3,217.63 : x
  2. Step 2: Convert to fraction form
    5,736.04/7,915.11 = 3,217.63/x
  3. Step 3: Cross multiply
    5,736.04x = 7,915.11 × 3,217.63
  4. Step 4: Simplify right side
    5,736.04x = 25,467,895.39
  5. Step 5: Solve for x
    x = 25,467,895.39/5,736.04
  6. Step 6: Final answer
    x = 4,439.98

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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.