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Finding the Fourth Proportional to 3,813.41, 5,742.97 and 3,356.19

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Solution

The fourth proportional to 3,813.41, 5,742.97 and 3,356.19 is: 5,054.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.41 : 5,742.97 = 3,356.19 : x
  2. Step 2: Convert to fraction form
    3,813.41/5,742.97 = 3,356.19/x
  3. Step 3: Cross multiply
    3,813.41x = 5,742.97 × 3,356.19
  4. Step 4: Simplify right side
    3,813.41x = 19,274,490.09
  5. Step 5: Solve for x
    x = 19,274,490.09/3,813.41
  6. Step 6: Final answer
    x = 5,054.39

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.