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Finding the Fourth Proportional to 3,597.75, 4,964.91 and 2,025.87

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Solution

The fourth proportional to 3,597.75, 4,964.91 and 2,025.87 is: 2,795.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597.75 : 4,964.91 = 2,025.87 : x
  2. Step 2: Convert to fraction form
    3,597.75/4,964.91 = 2,025.87/x
  3. Step 3: Cross multiply
    3,597.75x = 4,964.91 × 2,025.87
  4. Step 4: Simplify right side
    3,597.75x = 10,058,262.22
  5. Step 5: Solve for x
    x = 10,058,262.22/3,597.75
  6. Step 6: Final answer
    x = 2,795.71

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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.