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Finding the Fourth Proportional to 5,213.58, 7,201.02 and 3,794.99

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Solution

The fourth proportional to 5,213.58, 7,201.02 and 3,794.99 is: 5,241.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.58 : 7,201.02 = 3,794.99 : x
  2. Step 2: Convert to fraction form
    5,213.58/7,201.02 = 3,794.99/x
  3. Step 3: Cross multiply
    5,213.58x = 7,201.02 × 3,794.99
  4. Step 4: Simplify right side
    5,213.58x = 27,327,798.89
  5. Step 5: Solve for x
    x = 27,327,798.89/5,213.58
  6. Step 6: Final answer
    x = 5,241.66

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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.