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Finding the Fourth Proportional to 3,942.99, 5,897.05 and 3,507.30

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Solution

The fourth proportional to 3,942.99, 5,897.05 and 3,507.30 is: 5,245.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942.99 : 5,897.05 = 3,507.30 : x
  2. Step 2: Convert to fraction form
    3,942.99/5,897.05 = 3,507.30/x
  3. Step 3: Cross multiply
    3,942.99x = 5,897.05 × 3,507.30
  4. Step 4: Simplify right side
    3,942.99x = 20,682,723.47
  5. Step 5: Solve for x
    x = 20,682,723.47/3,942.99
  6. Step 6: Final answer
    x = 5,245.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.