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Finding the Fourth Proportional to 5,464.84, 8,198.04 and 2,001.28

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Solution

The fourth proportional to 5,464.84, 8,198.04 and 2,001.28 is: 3,002.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,464.84 : 8,198.04 = 2,001.28 : x
  2. Step 2: Convert to fraction form
    5,464.84/8,198.04 = 2,001.28/x
  3. Step 3: Cross multiply
    5,464.84x = 8,198.04 × 2,001.28
  4. Step 4: Simplify right side
    5,464.84x = 16,406,573.49
  5. Step 5: Solve for x
    x = 16,406,573.49/5,464.84
  6. Step 6: Final answer
    x = 3,002.21

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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.