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Finding the Fourth Proportional to 3,633.66, 5,017.41 and 2,961.57

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Solution

The fourth proportional to 3,633.66, 5,017.41 and 2,961.57 is: 4,089.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.66 : 5,017.41 = 2,961.57 : x
  2. Step 2: Convert to fraction form
    3,633.66/5,017.41 = 2,961.57/x
  3. Step 3: Cross multiply
    3,633.66x = 5,017.41 × 2,961.57
  4. Step 4: Simplify right side
    3,633.66x = 14,859,410.93
  5. Step 5: Solve for x
    x = 14,859,410.93/3,633.66
  6. Step 6: Final answer
    x = 4,089.38

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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.