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Finding the Fourth Proportional to 5,468.64, 8,198.04 and 2,181

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Solution

The fourth proportional to 5,468.64, 8,198.04 and 2,181 is: 3,269.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,468.64 : 8,198.04 = 2,181 : x
  2. Step 2: Convert to fraction form
    5,468.64/8,198.04 = 2,181/x
  3. Step 3: Cross multiply
    5,468.64x = 8,198.04 × 2,181
  4. Step 4: Simplify right side
    5,468.64x = 17,879,925.24
  5. Step 5: Solve for x
    x = 17,879,925.24/5,468.64
  6. Step 6: Final answer
    x = 3,269.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.