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Finding the Fourth Proportional to 3,449.72, 5,175.11 and 1,257.94

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Solution

The fourth proportional to 3,449.72, 5,175.11 and 1,257.94 is: 1,887.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.72 : 5,175.11 = 1,257.94 : x
  2. Step 2: Convert to fraction form
    3,449.72/5,175.11 = 1,257.94/x
  3. Step 3: Cross multiply
    3,449.72x = 5,175.11 × 1,257.94
  4. Step 4: Simplify right side
    3,449.72x = 6,509,977.87
  5. Step 5: Solve for x
    x = 6,509,977.87/3,449.72
  6. Step 6: Final answer
    x = 1,887.10

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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.