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Finding the Fourth Proportional to 3,525.72, 4,866.44 and 2,198.62

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Solution

The fourth proportional to 3,525.72, 4,866.44 and 2,198.62 is: 3,034.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,525.72 : 4,866.44 = 2,198.62 : x
  2. Step 2: Convert to fraction form
    3,525.72/4,866.44 = 2,198.62/x
  3. Step 3: Cross multiply
    3,525.72x = 4,866.44 × 2,198.62
  4. Step 4: Simplify right side
    3,525.72x = 10,699,452.31
  5. Step 5: Solve for x
    x = 10,699,452.31/3,525.72
  6. Step 6: Final answer
    x = 3,034.69

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