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Finding the Fourth Proportional to 5,760.90, 8,643.90 and 3,163.76

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Solution

The fourth proportional to 5,760.90, 8,643.90 and 3,163.76 is: 4,747.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,760.90 : 8,643.90 = 3,163.76 : x
  2. Step 2: Convert to fraction form
    5,760.90/8,643.90 = 3,163.76/x
  3. Step 3: Cross multiply
    5,760.90x = 8,643.90 × 3,163.76
  4. Step 4: Simplify right side
    5,760.90x = 27,347,225.06
  5. Step 5: Solve for x
    x = 27,347,225.06/5,760.90
  6. Step 6: Final answer
    x = 4,747.04

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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.