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Finding the Fourth Proportional to 3,594.84, 4,960.85 and 2,022.95

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Solution

The fourth proportional to 3,594.84, 4,960.85 and 2,022.95 is: 2,791.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,594.84 : 4,960.85 = 2,022.95 : x
  2. Step 2: Convert to fraction form
    3,594.84/4,960.85 = 2,022.95/x
  3. Step 3: Cross multiply
    3,594.84x = 4,960.85 × 2,022.95
  4. Step 4: Simplify right side
    3,594.84x = 10,035,516.59
  5. Step 5: Solve for x
    x = 10,035,516.59/3,594.84
  6. Step 6: Final answer
    x = 2,791.64

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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.