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Finding the Fourth Proportional to 3,418.78, 5,127.96 and 1,338.40

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Solution

The fourth proportional to 3,418.78, 5,127.96 and 1,338.40 is: 2,007.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,418.78 : 5,127.96 = 1,338.40 : x
  2. Step 2: Convert to fraction form
    3,418.78/5,127.96 = 1,338.40/x
  3. Step 3: Cross multiply
    3,418.78x = 5,127.96 × 1,338.40
  4. Step 4: Simplify right side
    3,418.78x = 6,863,261.66
  5. Step 5: Solve for x
    x = 6,863,261.66/3,418.78
  6. Step 6: Final answer
    x = 2,007.52

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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.