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Finding the Fourth Proportional to 3,801.89, 5,208.50 and 3,659.75

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Solution

The fourth proportional to 3,801.89, 5,208.50 and 3,659.75 is: 5,013.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.89 : 5,208.50 = 3,659.75 : x
  2. Step 2: Convert to fraction form
    3,801.89/5,208.50 = 3,659.75/x
  3. Step 3: Cross multiply
    3,801.89x = 5,208.50 × 3,659.75
  4. Step 4: Simplify right side
    3,801.89x = 19,061,776.52
  5. Step 5: Solve for x
    x = 19,061,776.52/3,801.89
  6. Step 6: Final answer
    x = 5,013.77

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.