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Finding the Fourth Proportional to 3,494.07, 5,250.96 and 3,257.15

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Solution

The fourth proportional to 3,494.07, 5,250.96 and 3,257.15 is: 4,894.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.07 : 5,250.96 = 3,257.15 : x
  2. Step 2: Convert to fraction form
    3,494.07/5,250.96 = 3,257.15/x
  3. Step 3: Cross multiply
    3,494.07x = 5,250.96 × 3,257.15
  4. Step 4: Simplify right side
    3,494.07x = 17,103,138.11
  5. Step 5: Solve for x
    x = 17,103,138.11/3,494.07
  6. Step 6: Final answer
    x = 4,894.90

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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.