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Finding the Fourth Proportional to 3,596.81, 4,963.48 and 2,003.46

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Solution

The fourth proportional to 3,596.81, 4,963.48 and 2,003.46 is: 2,764.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,596.81 : 4,963.48 = 2,003.46 : x
  2. Step 2: Convert to fraction form
    3,596.81/4,963.48 = 2,003.46/x
  3. Step 3: Cross multiply
    3,596.81x = 4,963.48 × 2,003.46
  4. Step 4: Simplify right side
    3,596.81x = 9,944,133.64
  5. Step 5: Solve for x
    x = 9,944,133.64/3,596.81
  6. Step 6: Final answer
    x = 2,764.71

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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.