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Finding the Fourth Proportional to 4,772.91, 6,586.26 and 2,783.22

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Solution

The fourth proportional to 4,772.91, 6,586.26 and 2,783.22 is: 3,840.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,772.91 : 6,586.26 = 2,783.22 : x
  2. Step 2: Convert to fraction form
    4,772.91/6,586.26 = 2,783.22/x
  3. Step 3: Cross multiply
    4,772.91x = 6,586.26 × 2,783.22
  4. Step 4: Simplify right side
    4,772.91x = 18,331,010.56
  5. Step 5: Solve for x
    x = 18,331,010.56/4,772.91
  6. Step 6: Final answer
    x = 3,840.64

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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.