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Finding the Fourth Proportional to 3,452.63, 5,179.70 and 1,261.31

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Solution

The fourth proportional to 3,452.63, 5,179.70 and 1,261.31 is: 1,892.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452.63 : 5,179.70 = 1,261.31 : x
  2. Step 2: Convert to fraction form
    3,452.63/5,179.70 = 1,261.31/x
  3. Step 3: Cross multiply
    3,452.63x = 5,179.70 × 1,261.31
  4. Step 4: Simplify right side
    3,452.63x = 6,533,184.66
  5. Step 5: Solve for x
    x = 6,533,184.66/3,452.63
  6. Step 6: Final answer
    x = 1,892.24

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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.