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Finding the Fourth Proportional to 3,463.67, 5,197.13 and 2,004.05

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Solution

The fourth proportional to 3,463.67, 5,197.13 and 2,004.05 is: 3,007.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.67 : 5,197.13 = 2,004.05 : x
  2. Step 2: Convert to fraction form
    3,463.67/5,197.13 = 2,004.05/x
  3. Step 3: Cross multiply
    3,463.67x = 5,197.13 × 2,004.05
  4. Step 4: Simplify right side
    3,463.67x = 10,415,298.36
  5. Step 5: Solve for x
    x = 10,415,298.36/3,463.67
  6. Step 6: Final answer
    x = 3,007.01

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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.