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Finding the Fourth Proportional to 6,791.40, 10,189.68 and 3,502.38

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Solution

The fourth proportional to 6,791.40, 10,189.68 and 3,502.38 is: 5,254.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,791.40 : 10,189.68 = 3,502.38 : x
  2. Step 2: Convert to fraction form
    6,791.40/10,189.68 = 3,502.38/x
  3. Step 3: Cross multiply
    6,791.40x = 10,189.68 × 3,502.38
  4. Step 4: Simplify right side
    6,791.40x = 35,688,131.44
  5. Step 5: Solve for x
    x = 35,688,131.44/6,791.40
  6. Step 6: Final answer
    x = 5,254.90

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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.