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Finding the Fourth Proportional to 3,597, 4,963.74 and 2,003.64

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Solution

The fourth proportional to 3,597, 4,963.74 and 2,003.64 is: 2,764.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597 : 4,963.74 = 2,003.64 : x
  2. Step 2: Convert to fraction form
    3,597/4,963.74 = 2,003.64/x
  3. Step 3: Cross multiply
    3,597x = 4,963.74 × 2,003.64
  4. Step 4: Simplify right side
    3,597x = 9,945,548.01
  5. Step 5: Solve for x
    x = 9,945,548.01/3,597
  6. Step 6: Final answer
    x = 2,764.96

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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.