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Finding the Fourth Proportional to 3,906.35, 5,390.66 and 2,394.50

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Solution

The fourth proportional to 3,906.35, 5,390.66 and 2,394.50 is: 3,304.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.35 : 5,390.66 = 2,394.50 : x
  2. Step 2: Convert to fraction form
    3,906.35/5,390.66 = 2,394.50/x
  3. Step 3: Cross multiply
    3,906.35x = 5,390.66 × 2,394.50
  4. Step 4: Simplify right side
    3,906.35x = 12,907,935.37
  5. Step 5: Solve for x
    x = 12,907,935.37/3,906.35
  6. Step 6: Final answer
    x = 3,304.35

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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.