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Finding the Fourth Proportional to 4,561.84, 6,846.06 and 1,965.52

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Solution

The fourth proportional to 4,561.84, 6,846.06 and 1,965.52 is: 2,949.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,561.84 : 6,846.06 = 1,965.52 : x
  2. Step 2: Convert to fraction form
    4,561.84/6,846.06 = 1,965.52/x
  3. Step 3: Cross multiply
    4,561.84x = 6,846.06 × 1,965.52
  4. Step 4: Simplify right side
    4,561.84x = 13,456,067.85
  5. Step 5: Solve for x
    x = 13,456,067.85/4,561.84
  6. Step 6: Final answer
    x = 2,949.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.