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Finding the Fourth Proportional to 3,773.82, 5,207.88 and 2,201.82

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Solution

The fourth proportional to 3,773.82, 5,207.88 and 2,201.82 is: 3,038.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.82 : 5,207.88 = 2,201.82 : x
  2. Step 2: Convert to fraction form
    3,773.82/5,207.88 = 2,201.82/x
  3. Step 3: Cross multiply
    3,773.82x = 5,207.88 × 2,201.82
  4. Step 4: Simplify right side
    3,773.82x = 11,466,814.34
  5. Step 5: Solve for x
    x = 11,466,814.34/3,773.82
  6. Step 6: Final answer
    x = 3,038.52

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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.