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Finding the Fourth Proportional to 3,773.63, 5,207.61 and 2,201.42

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Solution

The fourth proportional to 3,773.63, 5,207.61 and 2,201.42 is: 3,037.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.63 : 5,207.61 = 2,201.42 : x
  2. Step 2: Convert to fraction form
    3,773.63/5,207.61 = 2,201.42/x
  3. Step 3: Cross multiply
    3,773.63x = 5,207.61 × 2,201.42
  4. Step 4: Simplify right side
    3,773.63x = 11,464,110.77
  5. Step 5: Solve for x
    x = 11,464,110.77/3,773.63
  6. Step 6: Final answer
    x = 3,037.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.