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Finding the Fourth Proportional to 3,447.63, 5,171.99 and 1,257.93

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Solution

The fourth proportional to 3,447.63, 5,171.99 and 1,257.93 is: 1,887.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.63 : 5,171.99 = 1,257.93 : x
  2. Step 2: Convert to fraction form
    3,447.63/5,171.99 = 1,257.93/x
  3. Step 3: Cross multiply
    3,447.63x = 5,171.99 × 1,257.93
  4. Step 4: Simplify right side
    3,447.63x = 6,505,995.09
  5. Step 5: Solve for x
    x = 6,505,995.09/3,447.63
  6. Step 6: Final answer
    x = 1,887.09

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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.