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Finding the Fourth Proportional to 3,824.76, 5,731.02 and 3,237.30

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Solution

The fourth proportional to 3,824.76, 5,731.02 and 3,237.30 is: 4,850.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,824.76 : 5,731.02 = 3,237.30 : x
  2. Step 2: Convert to fraction form
    3,824.76/5,731.02 = 3,237.30/x
  3. Step 3: Cross multiply
    3,824.76x = 5,731.02 × 3,237.30
  4. Step 4: Simplify right side
    3,824.76x = 18,553,031.05
  5. Step 5: Solve for x
    x = 18,553,031.05/3,824.76
  6. Step 6: Final answer
    x = 4,850.77

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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.