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Finding the Fourth Proportional to 3,394.71, 5,090.55 and 1,202.85

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Solution

The fourth proportional to 3,394.71, 5,090.55 and 1,202.85 is: 1,803.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,394.71 : 5,090.55 = 1,202.85 : x
  2. Step 2: Convert to fraction form
    3,394.71/5,090.55 = 1,202.85/x
  3. Step 3: Cross multiply
    3,394.71x = 5,090.55 × 1,202.85
  4. Step 4: Simplify right side
    3,394.71x = 6,123,163.56
  5. Step 5: Solve for x
    x = 6,123,163.56/3,394.71
  6. Step 6: Final answer
    x = 1,803.74

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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.