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Finding the Fourth Proportional to 3,202.89, 4,807.04 and 3,178.59

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Solution

The fourth proportional to 3,202.89, 4,807.04 and 3,178.59 is: 4,770.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.89 : 4,807.04 = 3,178.59 : x
  2. Step 2: Convert to fraction form
    3,202.89/4,807.04 = 3,178.59/x
  3. Step 3: Cross multiply
    3,202.89x = 4,807.04 × 3,178.59
  4. Step 4: Simplify right side
    3,202.89x = 15,279,593.38
  5. Step 5: Solve for x
    x = 15,279,593.38/3,202.89
  6. Step 6: Final answer
    x = 4,770.56

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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.