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Finding the Fourth Proportional to 3,850.02, 5,778.69 and 2,002.48

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Solution

The fourth proportional to 3,850.02, 5,778.69 and 2,002.48 is: 3,005.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.02 : 5,778.69 = 2,002.48 : x
  2. Step 2: Convert to fraction form
    3,850.02/5,778.69 = 2,002.48/x
  3. Step 3: Cross multiply
    3,850.02x = 5,778.69 × 2,002.48
  4. Step 4: Simplify right side
    3,850.02x = 11,571,711.15
  5. Step 5: Solve for x
    x = 11,571,711.15/3,850.02
  6. Step 6: Final answer
    x = 3,005.62

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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.