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Finding the Fourth Proportional to 3,597.26, 4,964.10 and 2,003.90

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Solution

The fourth proportional to 3,597.26, 4,964.10 and 2,003.90 is: 2,765.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597.26 : 4,964.10 = 2,003.90 : x
  2. Step 2: Convert to fraction form
    3,597.26/4,964.10 = 2,003.90/x
  3. Step 3: Cross multiply
    3,597.26x = 4,964.10 × 2,003.90
  4. Step 4: Simplify right side
    3,597.26x = 9,947,535.17
  5. Step 5: Solve for x
    x = 9,947,535.17/3,597.26
  6. Step 6: Final answer
    x = 2,765.31

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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.