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Finding the Fourth Proportional to 3,695.49, 5,537.48 and 3,279.87

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Solution

The fourth proportional to 3,695.49, 5,537.48 and 3,279.87 is: 4,914.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.49 : 5,537.48 = 3,279.87 : x
  2. Step 2: Convert to fraction form
    3,695.49/5,537.48 = 3,279.87/x
  3. Step 3: Cross multiply
    3,695.49x = 5,537.48 × 3,279.87
  4. Step 4: Simplify right side
    3,695.49x = 18,162,198.13
  5. Step 5: Solve for x
    x = 18,162,198.13/3,695.49
  6. Step 6: Final answer
    x = 4,914.69

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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.