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Finding the Fourth Proportional to 3,597.82, 4,964.88 and 2,025.88

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Solution

The fourth proportional to 3,597.82, 4,964.88 and 2,025.88 is: 2,795.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597.82 : 4,964.88 = 2,025.88 : x
  2. Step 2: Convert to fraction form
    3,597.82/4,964.88 = 2,025.88/x
  3. Step 3: Cross multiply
    3,597.82x = 4,964.88 × 2,025.88
  4. Step 4: Simplify right side
    3,597.82x = 10,058,251.09
  5. Step 5: Solve for x
    x = 10,058,251.09/3,597.82
  6. Step 6: Final answer
    x = 2,795.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.