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Finding the Fourth Proportional to 3,773.84, 5,208.51 and 2,201.93

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Solution

The fourth proportional to 3,773.84, 5,208.51 and 2,201.93 is: 3,039.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.84 : 5,208.51 = 2,201.93 : x
  2. Step 2: Convert to fraction form
    3,773.84/5,208.51 = 2,201.93/x
  3. Step 3: Cross multiply
    3,773.84x = 5,208.51 × 2,201.93
  4. Step 4: Simplify right side
    3,773.84x = 11,468,748.38
  5. Step 5: Solve for x
    x = 11,468,748.38/3,773.84
  6. Step 6: Final answer
    x = 3,039.02

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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.