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Finding the Fourth Proportional to 3,849.99, 5,312.86 and 2,171.44

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Solution

The fourth proportional to 3,849.99, 5,312.86 and 2,171.44 is: 2,996.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,849.99 : 5,312.86 = 2,171.44 : x
  2. Step 2: Convert to fraction form
    3,849.99/5,312.86 = 2,171.44/x
  3. Step 3: Cross multiply
    3,849.99x = 5,312.86 × 2,171.44
  4. Step 4: Simplify right side
    3,849.99x = 11,536,556.72
  5. Step 5: Solve for x
    x = 11,536,556.72/3,849.99
  6. Step 6: Final answer
    x = 2,996.52

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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.