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Finding the Fourth Proportional to 3,604.64, 4,974.59 and 2,011.64

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Solution

The fourth proportional to 3,604.64, 4,974.59 and 2,011.64 is: 2,776.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,604.64 : 4,974.59 = 2,011.64 : x
  2. Step 2: Convert to fraction form
    3,604.64/4,974.59 = 2,011.64/x
  3. Step 3: Cross multiply
    3,604.64x = 4,974.59 × 2,011.64
  4. Step 4: Simplify right side
    3,604.64x = 10,007,064.38
  5. Step 5: Solve for x
    x = 10,007,064.38/3,604.64
  6. Step 6: Final answer
    x = 2,776.17

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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.