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Finding the Fourth Proportional to 3,876.37, 5,349.44 and 2,107.98

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Solution

The fourth proportional to 3,876.37, 5,349.44 and 2,107.98 is: 2,909.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.37 : 5,349.44 = 2,107.98 : x
  2. Step 2: Convert to fraction form
    3,876.37/5,349.44 = 2,107.98/x
  3. Step 3: Cross multiply
    3,876.37x = 5,349.44 × 2,107.98
  4. Step 4: Simplify right side
    3,876.37x = 11,276,491.30
  5. Step 5: Solve for x
    x = 11,276,491.30/3,876.37
  6. Step 6: Final answer
    x = 2,909.03

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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.