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Finding the Fourth Proportional to 4,450.82, 6,142.13 and 2,561.72

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Solution

The fourth proportional to 4,450.82, 6,142.13 and 2,561.72 is: 3,535.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,450.82 : 6,142.13 = 2,561.72 : x
  2. Step 2: Convert to fraction form
    4,450.82/6,142.13 = 2,561.72/x
  3. Step 3: Cross multiply
    4,450.82x = 6,142.13 × 2,561.72
  4. Step 4: Simplify right side
    4,450.82x = 15,734,406.38
  5. Step 5: Solve for x
    x = 15,734,406.38/4,450.82
  6. Step 6: Final answer
    x = 3,535.17

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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.