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Finding the Fourth Proportional to 3,841.83, 5,758.02 and 2,087.78

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Solution

The fourth proportional to 3,841.83, 5,758.02 and 2,087.78 is: 3,129.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841.83 : 5,758.02 = 2,087.78 : x
  2. Step 2: Convert to fraction form
    3,841.83/5,758.02 = 2,087.78/x
  3. Step 3: Cross multiply
    3,841.83x = 5,758.02 × 2,087.78
  4. Step 4: Simplify right side
    3,841.83x = 12,021,450.21
  5. Step 5: Solve for x
    x = 12,021,450.21/3,841.83
  6. Step 6: Final answer
    x = 3,129.09

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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.