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Finding the Fourth Proportional to 3,910.32, 5,864.56 and 1,934

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Solution

The fourth proportional to 3,910.32, 5,864.56 and 1,934 is: 2,900.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,910.32 : 5,864.56 = 1,934 : x
  2. Step 2: Convert to fraction form
    3,910.32/5,864.56 = 1,934/x
  3. Step 3: Cross multiply
    3,910.32x = 5,864.56 × 1,934
  4. Step 4: Simplify right side
    3,910.32x = 11,342,059.04
  5. Step 5: Solve for x
    x = 11,342,059.04/3,910.32
  6. Step 6: Final answer
    x = 2,900.54

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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.