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Finding the Fourth Proportional to 4,772.72, 6,586.41 and 2,884.51

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Solution

The fourth proportional to 4,772.72, 6,586.41 and 2,884.51 is: 3,980.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,772.72 : 6,586.41 = 2,884.51 : x
  2. Step 2: Convert to fraction form
    4,772.72/6,586.41 = 2,884.51/x
  3. Step 3: Cross multiply
    4,772.72x = 6,586.41 × 2,884.51
  4. Step 4: Simplify right side
    4,772.72x = 18,998,584.56
  5. Step 5: Solve for x
    x = 18,998,584.56/4,772.72
  6. Step 6: Final answer
    x = 3,980.66

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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.