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Finding the Fourth Proportional to 3,638.47, 5,457.17 and 1,789.09

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Solution

The fourth proportional to 3,638.47, 5,457.17 and 1,789.09 is: 2,683.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,638.47 : 5,457.17 = 1,789.09 : x
  2. Step 2: Convert to fraction form
    3,638.47/5,457.17 = 1,789.09/x
  3. Step 3: Cross multiply
    3,638.47x = 5,457.17 × 1,789.09
  4. Step 4: Simplify right side
    3,638.47x = 9,763,359.11
  5. Step 5: Solve for x
    x = 9,763,359.11/3,638.47
  6. Step 6: Final answer
    x = 2,683.37

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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.