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Finding the Fourth Proportional to 3,872.08, 5,814.60 and 3,841.84

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Solution

The fourth proportional to 3,872.08, 5,814.60 and 3,841.84 is: 5,769.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.08 : 5,814.60 = 3,841.84 : x
  2. Step 2: Convert to fraction form
    3,872.08/5,814.60 = 3,841.84/x
  3. Step 3: Cross multiply
    3,872.08x = 5,814.60 × 3,841.84
  4. Step 4: Simplify right side
    3,872.08x = 22,338,762.86
  5. Step 5: Solve for x
    x = 22,338,762.86/3,872.08
  6. Step 6: Final answer
    x = 5,769.19

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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.