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Finding the Fourth Proportional to 6,751.95, 10,131.56 and 3,289.20

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Solution

The fourth proportional to 6,751.95, 10,131.56 and 3,289.20 is: 4,935.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,751.95 : 10,131.56 = 3,289.20 : x
  2. Step 2: Convert to fraction form
    6,751.95/10,131.56 = 3,289.20/x
  3. Step 3: Cross multiply
    6,751.95x = 10,131.56 × 3,289.20
  4. Step 4: Simplify right side
    6,751.95x = 33,324,703.55
  5. Step 5: Solve for x
    x = 33,324,703.55/6,751.95
  6. Step 6: Final answer
    x = 4,935.57

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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.