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Finding the Fourth Proportional to 3,906.64, 5,390.84 and 2,138.16

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Solution

The fourth proportional to 3,906.64, 5,390.84 and 2,138.16 is: 2,950.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.64 : 5,390.84 = 2,138.16 : x
  2. Step 2: Convert to fraction form
    3,906.64/5,390.84 = 2,138.16/x
  3. Step 3: Cross multiply
    3,906.64x = 5,390.84 × 2,138.16
  4. Step 4: Simplify right side
    3,906.64x = 11,526,478.45
  5. Step 5: Solve for x
    x = 11,526,478.45/3,906.64
  6. Step 6: Final answer
    x = 2,950.48

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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.