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Finding the Fourth Proportional to 3,449.07, 5,171.06 and 1,257.81

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Solution

The fourth proportional to 3,449.07, 5,171.06 and 1,257.81 is: 1,885.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.07 : 5,171.06 = 1,257.81 : x
  2. Step 2: Convert to fraction form
    3,449.07/5,171.06 = 1,257.81/x
  3. Step 3: Cross multiply
    3,449.07x = 5,171.06 × 1,257.81
  4. Step 4: Simplify right side
    3,449.07x = 6,504,204.69
  5. Step 5: Solve for x
    x = 6,504,204.69/3,449.07
  6. Step 6: Final answer
    x = 1,885.79

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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.