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Finding the Fourth Proportional to 3,627.30, 5,002.62 and 3,208.02

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Solution

The fourth proportional to 3,627.30, 5,002.62 and 3,208.02 is: 4,424.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,627.30 : 5,002.62 = 3,208.02 : x
  2. Step 2: Convert to fraction form
    3,627.30/5,002.62 = 3,208.02/x
  3. Step 3: Cross multiply
    3,627.30x = 5,002.62 × 3,208.02
  4. Step 4: Simplify right side
    3,627.30x = 16,048,505.01
  5. Step 5: Solve for x
    x = 16,048,505.01/3,627.30
  6. Step 6: Final answer
    x = 4,424.37

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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.