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Finding the Fourth Proportional to 3,896.86, 5,377.68 and 2,128.50

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Solution

The fourth proportional to 3,896.86, 5,377.68 and 2,128.50 is: 2,937.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.86 : 5,377.68 = 2,128.50 : x
  2. Step 2: Convert to fraction form
    3,896.86/5,377.68 = 2,128.50/x
  3. Step 3: Cross multiply
    3,896.86x = 5,377.68 × 2,128.50
  4. Step 4: Simplify right side
    3,896.86x = 11,446,391.88
  5. Step 5: Solve for x
    x = 11,446,391.88/3,896.86
  6. Step 6: Final answer
    x = 2,937.34

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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.