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Finding the Fourth Proportional to 5,027.76, 6,934.80 and 3,163.68

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Solution

The fourth proportional to 5,027.76, 6,934.80 and 3,163.68 is: 4,363.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,027.76 : 6,934.80 = 3,163.68 : x
  2. Step 2: Convert to fraction form
    5,027.76/6,934.80 = 3,163.68/x
  3. Step 3: Cross multiply
    5,027.76x = 6,934.80 × 3,163.68
  4. Step 4: Simplify right side
    5,027.76x = 21,939,488.06
  5. Step 5: Solve for x
    x = 21,939,488.06/5,027.76
  6. Step 6: Final answer
    x = 4,363.67

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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.