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Finding the Fourth Proportional to 3,641.00, 5,024.57 and 2,069.09

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Solution

The fourth proportional to 3,641.00, 5,024.57 and 2,069.09 is: 2,855.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641.00 : 5,024.57 = 2,069.09 : x
  2. Step 2: Convert to fraction form
    3,641.00/5,024.57 = 2,069.09/x
  3. Step 3: Cross multiply
    3,641.00x = 5,024.57 × 2,069.09
  4. Step 4: Simplify right side
    3,641.00x = 10,396,299.18
  5. Step 5: Solve for x
    x = 10,396,299.18/3,641.00
  6. Step 6: Final answer
    x = 2,855.34

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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.