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Finding the Fourth Proportional to 3,403.62, 5,098.14 and 1,939.14

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Solution

The fourth proportional to 3,403.62, 5,098.14 and 1,939.14 is: 2,904.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,403.62 : 5,098.14 = 1,939.14 : x
  2. Step 2: Convert to fraction form
    3,403.62/5,098.14 = 1,939.14/x
  3. Step 3: Cross multiply
    3,403.62x = 5,098.14 × 1,939.14
  4. Step 4: Simplify right side
    3,403.62x = 9,886,007.20
  5. Step 5: Solve for x
    x = 9,886,007.20/3,403.62
  6. Step 6: Final answer
    x = 2,904.56

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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.