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Finding the Fourth Proportional to 3,773.25, 5,207.43 and 2,201.46

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Solution

The fourth proportional to 3,773.25, 5,207.43 and 2,201.46 is: 3,038.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.25 : 5,207.43 = 2,201.46 : x
  2. Step 2: Convert to fraction form
    3,773.25/5,207.43 = 2,201.46/x
  3. Step 3: Cross multiply
    3,773.25x = 5,207.43 × 2,201.46
  4. Step 4: Simplify right side
    3,773.25x = 11,463,948.85
  5. Step 5: Solve for x
    x = 11,463,948.85/3,773.25
  6. Step 6: Final answer
    x = 3,038.22

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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.