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Finding the Fourth Proportional to 3,906.54, 5,392.98 and 2,654.22

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Solution

The fourth proportional to 3,906.54, 5,392.98 and 2,654.22 is: 3,664.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.54 : 5,392.98 = 2,654.22 : x
  2. Step 2: Convert to fraction form
    3,906.54/5,392.98 = 2,654.22/x
  3. Step 3: Cross multiply
    3,906.54x = 5,392.98 × 2,654.22
  4. Step 4: Simplify right side
    3,906.54x = 14,314,155.38
  5. Step 5: Solve for x
    x = 14,314,155.38/3,906.54
  6. Step 6: Final answer
    x = 3,664.15

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Why These Related Problems?

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