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Finding the Fourth Proportional to 5,473.36, 8,204.88 and 2,008

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Solution

The fourth proportional to 5,473.36, 8,204.88 and 2,008 is: 3,010.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,473.36 : 8,204.88 = 2,008 : x
  2. Step 2: Convert to fraction form
    5,473.36/8,204.88 = 2,008/x
  3. Step 3: Cross multiply
    5,473.36x = 8,204.88 × 2,008
  4. Step 4: Simplify right side
    5,473.36x = 16,475,399.04
  5. Step 5: Solve for x
    x = 16,475,399.04/5,473.36
  6. Step 6: Final answer
    x = 3,010.11

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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.