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Finding the Fourth Proportional to 6,885.70, 9,502.06 and 3,741.90

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Solution

The fourth proportional to 6,885.70, 9,502.06 and 3,741.90 is: 5,163.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,885.70 : 9,502.06 = 3,741.90 : x
  2. Step 2: Convert to fraction form
    6,885.70/9,502.06 = 3,741.90/x
  3. Step 3: Cross multiply
    6,885.70x = 9,502.06 × 3,741.90
  4. Step 4: Simplify right side
    6,885.70x = 35,555,758.31
  5. Step 5: Solve for x
    x = 35,555,758.31/6,885.70
  6. Step 6: Final answer
    x = 5,163.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.