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Finding the Fourth Proportional to 5,874.93, 8,105.76 and 3,780.27

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Solution

The fourth proportional to 5,874.93, 8,105.76 and 3,780.27 is: 5,215.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,874.93 : 8,105.76 = 3,780.27 : x
  2. Step 2: Convert to fraction form
    5,874.93/8,105.76 = 3,780.27/x
  3. Step 3: Cross multiply
    5,874.93x = 8,105.76 × 3,780.27
  4. Step 4: Simplify right side
    5,874.93x = 30,641,961.36
  5. Step 5: Solve for x
    x = 30,641,961.36/5,874.93
  6. Step 6: Final answer
    x = 5,215.72

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