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Finding the Fourth Proportional to 4,536.74, 6,261.39 and 2,769.37

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Solution

The fourth proportional to 4,536.74, 6,261.39 and 2,769.37 is: 3,822.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,536.74 : 6,261.39 = 2,769.37 : x
  2. Step 2: Convert to fraction form
    4,536.74/6,261.39 = 2,769.37/x
  3. Step 3: Cross multiply
    4,536.74x = 6,261.39 × 2,769.37
  4. Step 4: Simplify right side
    4,536.74x = 17,340,105.62
  5. Step 5: Solve for x
    x = 17,340,105.62/4,536.74
  6. Step 6: Final answer
    x = 3,822.15

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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.