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Finding the Fourth Proportional to 5,763.40, 8,632.95 and 3,163.30

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Solution

The fourth proportional to 5,763.40, 8,632.95 and 3,163.30 is: 4,738.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,763.40 : 8,632.95 = 3,163.30 : x
  2. Step 2: Convert to fraction form
    5,763.40/8,632.95 = 3,163.30/x
  3. Step 3: Cross multiply
    5,763.40x = 8,632.95 × 3,163.30
  4. Step 4: Simplify right side
    5,763.40x = 27,308,610.74
  5. Step 5: Solve for x
    x = 27,308,610.74/5,763.40
  6. Step 6: Final answer
    x = 4,738.28

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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.