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Finding the Fourth Proportional to 3,855.47, 5,319.27 and 2,261.39

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Solution

The fourth proportional to 3,855.47, 5,319.27 and 2,261.39 is: 3,119.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.47 : 5,319.27 = 2,261.39 : x
  2. Step 2: Convert to fraction form
    3,855.47/5,319.27 = 2,261.39/x
  3. Step 3: Cross multiply
    3,855.47x = 5,319.27 × 2,261.39
  4. Step 4: Simplify right side
    3,855.47x = 12,028,917.39
  5. Step 5: Solve for x
    x = 12,028,917.39/3,855.47
  6. Step 6: Final answer
    x = 3,119.97

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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.