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Finding the Fourth Proportional to 3,448.59, 5,174.91 and 1,257.09

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Solution

The fourth proportional to 3,448.59, 5,174.91 and 1,257.09 is: 1,886.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,448.59 : 5,174.91 = 1,257.09 : x
  2. Step 2: Convert to fraction form
    3,448.59/5,174.91 = 1,257.09/x
  3. Step 3: Cross multiply
    3,448.59x = 5,174.91 × 1,257.09
  4. Step 4: Simplify right side
    3,448.59x = 6,505,327.61
  5. Step 5: Solve for x
    x = 6,505,327.61/3,448.59
  6. Step 6: Final answer
    x = 1,886.37

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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.