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Finding the Fourth Proportional to 6,437.62, 8,880.78 and 4,198.48

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Solution

The fourth proportional to 6,437.62, 8,880.78 and 4,198.48 is: 5,791.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,437.62 : 8,880.78 = 4,198.48 : x
  2. Step 2: Convert to fraction form
    6,437.62/8,880.78 = 4,198.48/x
  3. Step 3: Cross multiply
    6,437.62x = 8,880.78 × 4,198.48
  4. Step 4: Simplify right side
    6,437.62x = 37,285,777.21
  5. Step 5: Solve for x
    x = 37,285,777.21/6,437.62
  6. Step 6: Final answer
    x = 5,791.86

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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.