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Finding the Fourth Proportional to 3,446.93, 5,172.42 and 1,255.79

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Solution

The fourth proportional to 3,446.93, 5,172.42 and 1,255.79 is: 1,884.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.93 : 5,172.42 = 1,255.79 : x
  2. Step 2: Convert to fraction form
    3,446.93/5,172.42 = 1,255.79/x
  3. Step 3: Cross multiply
    3,446.93x = 5,172.42 × 1,255.79
  4. Step 4: Simplify right side
    3,446.93x = 6,495,473.31
  5. Step 5: Solve for x
    x = 6,495,473.31/3,446.93
  6. Step 6: Final answer
    x = 1,884.42

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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.