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Finding the Fourth Proportional to 3,908.16, 5,394.40 and 2,230.49

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Solution

The fourth proportional to 3,908.16, 5,394.40 and 2,230.49 is: 3,078.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,908.16 : 5,394.40 = 2,230.49 : x
  2. Step 2: Convert to fraction form
    3,908.16/5,394.40 = 2,230.49/x
  3. Step 3: Cross multiply
    3,908.16x = 5,394.40 × 2,230.49
  4. Step 4: Simplify right side
    3,908.16x = 12,032,122.71
  5. Step 5: Solve for x
    x = 12,032,122.71/3,908.16
  6. Step 6: Final answer
    x = 3,078.72

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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.