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Finding the Fourth Proportional to 3,965.49, 5,462.24 and 3,335.31

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Solution

The fourth proportional to 3,965.49, 5,462.24 and 3,335.31 is: 4,594.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.49 : 5,462.24 = 3,335.31 : x
  2. Step 2: Convert to fraction form
    3,965.49/5,462.24 = 3,335.31/x
  3. Step 3: Cross multiply
    3,965.49x = 5,462.24 × 3,335.31
  4. Step 4: Simplify right side
    3,965.49x = 18,218,247.02
  5. Step 5: Solve for x
    x = 18,218,247.02/3,965.49
  6. Step 6: Final answer
    x = 4,594.20

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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.