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Finding the Fourth Proportional to 3,604.57, 4,974.32 and 2,011.37

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Solution

The fourth proportional to 3,604.57, 4,974.32 and 2,011.37 is: 2,775.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,604.57 : 4,974.32 = 2,011.37 : x
  2. Step 2: Convert to fraction form
    3,604.57/4,974.32 = 2,011.37/x
  3. Step 3: Cross multiply
    3,604.57x = 4,974.32 × 2,011.37
  4. Step 4: Simplify right side
    3,604.57x = 10,005,178.18
  5. Step 5: Solve for x
    x = 10,005,178.18/3,604.57
  6. Step 6: Final answer
    x = 2,775.69

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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.