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Finding the Fourth Proportional to 4,571.30, 6,855.86 and 1,972.82

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Solution

The fourth proportional to 4,571.30, 6,855.86 and 1,972.82 is: 2,958.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,571.30 : 6,855.86 = 1,972.82 : x
  2. Step 2: Convert to fraction form
    4,571.30/6,855.86 = 1,972.82/x
  3. Step 3: Cross multiply
    4,571.30x = 6,855.86 × 1,972.82
  4. Step 4: Simplify right side
    4,571.30x = 13,525,377.73
  5. Step 5: Solve for x
    x = 13,525,377.73/4,571.30
  6. Step 6: Final answer
    x = 2,958.76

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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.