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Finding the Fourth Proportional to 5,777.31, 8,663.67 and 2,078.40

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Solution

The fourth proportional to 5,777.31, 8,663.67 and 2,078.40 is: 3,116.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,777.31 : 8,663.67 = 2,078.40 : x
  2. Step 2: Convert to fraction form
    5,777.31/8,663.67 = 2,078.40/x
  3. Step 3: Cross multiply
    5,777.31x = 8,663.67 × 2,078.40
  4. Step 4: Simplify right side
    5,777.31x = 18,006,571.73
  5. Step 5: Solve for x
    x = 18,006,571.73/5,777.31
  6. Step 6: Final answer
    x = 3,116.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.