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Finding the Fourth Proportional to 5,297.11, 7,304.05 and 3,619.44

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Solution

The fourth proportional to 5,297.11, 7,304.05 and 3,619.44 is: 4,990.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.11 : 7,304.05 = 3,619.44 : x
  2. Step 2: Convert to fraction form
    5,297.11/7,304.05 = 3,619.44/x
  3. Step 3: Cross multiply
    5,297.11x = 7,304.05 × 3,619.44
  4. Step 4: Simplify right side
    5,297.11x = 26,436,570.73
  5. Step 5: Solve for x
    x = 26,436,570.73/5,297.11
  6. Step 6: Final answer
    x = 4,990.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.