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Finding the Fourth Proportional to 3,494.31, 5,241.42 and 1,155.39

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Solution

The fourth proportional to 3,494.31, 5,241.42 and 1,155.39 is: 1,733.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.31 : 5,241.42 = 1,155.39 : x
  2. Step 2: Convert to fraction form
    3,494.31/5,241.42 = 1,155.39/x
  3. Step 3: Cross multiply
    3,494.31x = 5,241.42 × 1,155.39
  4. Step 4: Simplify right side
    3,494.31x = 6,055,884.25
  5. Step 5: Solve for x
    x = 6,055,884.25/3,494.31
  6. Step 6: Final answer
    x = 1,733.07

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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.