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Finding the Fourth Proportional to 3,597.62, 4,964.64 and 2,025.71

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Solution

The fourth proportional to 3,597.62, 4,964.64 and 2,025.71 is: 2,795.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597.62 : 4,964.64 = 2,025.71 : x
  2. Step 2: Convert to fraction form
    3,597.62/4,964.64 = 2,025.71/x
  3. Step 3: Cross multiply
    3,597.62x = 4,964.64 × 2,025.71
  4. Step 4: Simplify right side
    3,597.62x = 10,056,918.49
  5. Step 5: Solve for x
    x = 10,056,918.49/3,597.62
  6. Step 6: Final answer
    x = 2,795.44

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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.