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Finding the Fourth Proportional to 3,867.36, 5,337 and 2,274.36

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Solution

The fourth proportional to 3,867.36, 5,337 and 2,274.36 is: 3,138.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.36 : 5,337 = 2,274.36 : x
  2. Step 2: Convert to fraction form
    3,867.36/5,337 = 2,274.36/x
  3. Step 3: Cross multiply
    3,867.36x = 5,337 × 2,274.36
  4. Step 4: Simplify right side
    3,867.36x = 12,138,259.32
  5. Step 5: Solve for x
    x = 12,138,259.32/3,867.36
  6. Step 6: Final answer
    x = 3,138.64

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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.