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Finding the Fourth Proportional to 3,773.76, 5,205.60 and 2,201.64

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Solution

The fourth proportional to 3,773.76, 5,205.60 and 2,201.64 is: 3,036.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.76 : 5,205.60 = 2,201.64 : x
  2. Step 2: Convert to fraction form
    3,773.76/5,205.60 = 2,201.64/x
  3. Step 3: Cross multiply
    3,773.76x = 5,205.60 × 2,201.64
  4. Step 4: Simplify right side
    3,773.76x = 11,460,857.18
  5. Step 5: Solve for x
    x = 11,460,857.18/3,773.76
  6. Step 6: Final answer
    x = 3,036.99

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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.