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Finding the Fourth Proportional to 3,192.64, 4,767.41 and 2,608.78

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Solution

The fourth proportional to 3,192.64, 4,767.41 and 2,608.78 is: 3,895.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,192.64 : 4,767.41 = 2,608.78 : x
  2. Step 2: Convert to fraction form
    3,192.64/4,767.41 = 2,608.78/x
  3. Step 3: Cross multiply
    3,192.64x = 4,767.41 × 2,608.78
  4. Step 4: Simplify right side
    3,192.64x = 12,437,123.86
  5. Step 5: Solve for x
    x = 12,437,123.86/3,192.64
  6. Step 6: Final answer
    x = 3,895.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.