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Finding the Fourth Proportional to 3,910.32, 5,829.30 and 3,850.38

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Solution

The fourth proportional to 3,910.32, 5,829.30 and 3,850.38 is: 5,739.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,910.32 : 5,829.30 = 3,850.38 : x
  2. Step 2: Convert to fraction form
    3,910.32/5,829.30 = 3,850.38/x
  3. Step 3: Cross multiply
    3,910.32x = 5,829.30 × 3,850.38
  4. Step 4: Simplify right side
    3,910.32x = 22,445,020.13
  5. Step 5: Solve for x
    x = 22,445,020.13/3,910.32
  6. Step 6: Final answer
    x = 5,739.94

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.