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Finding the Fourth Proportional to 3,896.96, 5,838.12 and 1,950.53

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Solution

The fourth proportional to 3,896.96, 5,838.12 and 1,950.53 is: 2,922.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.96 : 5,838.12 = 1,950.53 : x
  2. Step 2: Convert to fraction form
    3,896.96/5,838.12 = 1,950.53/x
  3. Step 3: Cross multiply
    3,896.96x = 5,838.12 × 1,950.53
  4. Step 4: Simplify right side
    3,896.96x = 11,387,399.01
  5. Step 5: Solve for x
    x = 11,387,399.01/3,896.96
  6. Step 6: Final answer
    x = 2,922.13

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Why These Related Problems?

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