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Finding the Fourth Proportional to 4,885.99, 6,742.85 and 2,896.43

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Solution

The fourth proportional to 4,885.99, 6,742.85 and 2,896.43 is: 3,997.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,885.99 : 6,742.85 = 2,896.43 : x
  2. Step 2: Convert to fraction form
    4,885.99/6,742.85 = 2,896.43/x
  3. Step 3: Cross multiply
    4,885.99x = 6,742.85 × 2,896.43
  4. Step 4: Simplify right side
    4,885.99x = 19,530,144.83
  5. Step 5: Solve for x
    x = 19,530,144.83/4,885.99
  6. Step 6: Final answer
    x = 3,997.17

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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.