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Finding the Fourth Proportional to 4,550.49, 6,824.51 and 1,952.82

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Solution

The fourth proportional to 4,550.49, 6,824.51 and 1,952.82 is: 2,928.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,550.49 : 6,824.51 = 1,952.82 : x
  2. Step 2: Convert to fraction form
    4,550.49/6,824.51 = 1,952.82/x
  3. Step 3: Cross multiply
    4,550.49x = 6,824.51 × 1,952.82
  4. Step 4: Simplify right side
    4,550.49x = 13,327,029.85
  5. Step 5: Solve for x
    x = 13,327,029.85/4,550.49
  6. Step 6: Final answer
    x = 2,928.70

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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.