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Finding the Fourth Proportional to 3,604.74, 4,974.97 and 2,011.64

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Solution

The fourth proportional to 3,604.74, 4,974.97 and 2,011.64 is: 2,776.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,604.74 : 4,974.97 = 2,011.64 : x
  2. Step 2: Convert to fraction form
    3,604.74/4,974.97 = 2,011.64/x
  3. Step 3: Cross multiply
    3,604.74x = 4,974.97 × 2,011.64
  4. Step 4: Simplify right side
    3,604.74x = 10,007,848.65
  5. Step 5: Solve for x
    x = 10,007,848.65/3,604.74
  6. Step 6: Final answer
    x = 2,776.30

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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.