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Finding the Fourth Proportional to 3,538.58, 5,297.46 and 2,618.30

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Solution

The fourth proportional to 3,538.58, 5,297.46 and 2,618.30 is: 3,919.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.58 : 5,297.46 = 2,618.30 : x
  2. Step 2: Convert to fraction form
    3,538.58/5,297.46 = 2,618.30/x
  3. Step 3: Cross multiply
    3,538.58x = 5,297.46 × 2,618.30
  4. Step 4: Simplify right side
    3,538.58x = 13,870,339.52
  5. Step 5: Solve for x
    x = 13,870,339.52/3,538.58
  6. Step 6: Final answer
    x = 3,919.75

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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.