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Finding the Fourth Proportional to 3,431.43, 5,103 and 3,322.08

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Solution

The fourth proportional to 3,431.43, 5,103 and 3,322.08 is: 4,940.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431.43 : 5,103 = 3,322.08 : x
  2. Step 2: Convert to fraction form
    3,431.43/5,103 = 3,322.08/x
  3. Step 3: Cross multiply
    3,431.43x = 5,103 × 3,322.08
  4. Step 4: Simplify right side
    3,431.43x = 16,952,574.24
  5. Step 5: Solve for x
    x = 16,952,574.24/3,431.43
  6. Step 6: Final answer
    x = 4,940.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.