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Finding the Fourth Proportional to 3,403.41, 5,107.29 and 1,844.49

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Solution

The fourth proportional to 3,403.41, 5,107.29 and 1,844.49 is: 2,767.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,403.41 : 5,107.29 = 1,844.49 : x
  2. Step 2: Convert to fraction form
    3,403.41/5,107.29 = 1,844.49/x
  3. Step 3: Cross multiply
    3,403.41x = 5,107.29 × 1,844.49
  4. Step 4: Simplify right side
    3,403.41x = 9,420,345.33
  5. Step 5: Solve for x
    x = 9,420,345.33/3,403.41
  6. Step 6: Final answer
    x = 2,767.91

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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.