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Finding the Fourth Proportional to 3,418.00, 5,127.50 and 1,338.02

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Solution

The fourth proportional to 3,418.00, 5,127.50 and 1,338.02 is: 2,007.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,418.00 : 5,127.50 = 1,338.02 : x
  2. Step 2: Convert to fraction form
    3,418.00/5,127.50 = 1,338.02/x
  3. Step 3: Cross multiply
    3,418.00x = 5,127.50 × 1,338.02
  4. Step 4: Simplify right side
    3,418.00x = 6,860,694.49
  5. Step 5: Solve for x
    x = 6,860,694.49/3,418.00
  6. Step 6: Final answer
    x = 2,007.23

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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.