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Finding the Fourth Proportional to 4,761.76, 6,571.02 and 2,873.80

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Solution

The fourth proportional to 4,761.76, 6,571.02 and 2,873.80 is: 3,965.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.76 : 6,571.02 = 2,873.80 : x
  2. Step 2: Convert to fraction form
    4,761.76/6,571.02 = 2,873.80/x
  3. Step 3: Cross multiply
    4,761.76x = 6,571.02 × 2,873.80
  4. Step 4: Simplify right side
    4,761.76x = 18,883,797.28
  5. Step 5: Solve for x
    x = 18,883,797.28/4,761.76
  6. Step 6: Final answer
    x = 3,965.72

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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.