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Finding the Fourth Proportional to 3,908.36, 5,394.12 and 2,415.98

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Solution

The fourth proportional to 3,908.36, 5,394.12 and 2,415.98 is: 3,334.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,908.36 : 5,394.12 = 2,415.98 : x
  2. Step 2: Convert to fraction form
    3,908.36/5,394.12 = 2,415.98/x
  3. Step 3: Cross multiply
    3,908.36x = 5,394.12 × 2,415.98
  4. Step 4: Simplify right side
    3,908.36x = 13,032,086.04
  5. Step 5: Solve for x
    x = 13,032,086.04/3,908.36
  6. Step 6: Final answer
    x = 3,334.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.