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Finding the Fourth Proportional to 4,772.87, 6,584.02 and 2,782.70

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Solution

The fourth proportional to 4,772.87, 6,584.02 and 2,782.70 is: 3,838.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,772.87 : 6,584.02 = 2,782.70 : x
  2. Step 2: Convert to fraction form
    4,772.87/6,584.02 = 2,782.70/x
  3. Step 3: Cross multiply
    4,772.87x = 6,584.02 × 2,782.70
  4. Step 4: Simplify right side
    4,772.87x = 18,321,338.54
  5. Step 5: Solve for x
    x = 18,321,338.54/4,772.87
  6. Step 6: Final answer
    x = 3,838.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.