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Finding the Fourth Proportional to 3,452.96, 5,179.26 and 1,261.46

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Solution

The fourth proportional to 3,452.96, 5,179.26 and 1,261.46 is: 1,892.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452.96 : 5,179.26 = 1,261.46 : x
  2. Step 2: Convert to fraction form
    3,452.96/5,179.26 = 1,261.46/x
  3. Step 3: Cross multiply
    3,452.96x = 5,179.26 × 1,261.46
  4. Step 4: Simplify right side
    3,452.96x = 6,533,429.32
  5. Step 5: Solve for x
    x = 6,533,429.32/3,452.96
  6. Step 6: Final answer
    x = 1,892.12

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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.