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Finding the Fourth Proportional to 3,905.56, 5,389.32 and 2,227.24

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Solution

The fourth proportional to 3,905.56, 5,389.32 and 2,227.24 is: 3,073.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,905.56 : 5,389.32 = 2,227.24 : x
  2. Step 2: Convert to fraction form
    3,905.56/5,389.32 = 2,227.24/x
  3. Step 3: Cross multiply
    3,905.56x = 5,389.32 × 2,227.24
  4. Step 4: Simplify right side
    3,905.56x = 12,003,309.08
  5. Step 5: Solve for x
    x = 12,003,309.08/3,905.56
  6. Step 6: Final answer
    x = 3,073.39

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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.