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Finding the Fourth Proportional to 5,722.78, 7,898.19 and 3,205.03

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Solution

The fourth proportional to 5,722.78, 7,898.19 and 3,205.03 is: 4,423.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,722.78 : 7,898.19 = 3,205.03 : x
  2. Step 2: Convert to fraction form
    5,722.78/7,898.19 = 3,205.03/x
  3. Step 3: Cross multiply
    5,722.78x = 7,898.19 × 3,205.03
  4. Step 4: Simplify right side
    5,722.78x = 25,313,896.40
  5. Step 5: Solve for x
    x = 25,313,896.40/5,722.78
  6. Step 6: Final answer
    x = 4,423.36

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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.