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Finding the Fourth Proportional to 3,876.64, 5,349.83 and 2,108.30

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Solution

The fourth proportional to 3,876.64, 5,349.83 and 2,108.30 is: 2,909.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.64 : 5,349.83 = 2,108.30 : x
  2. Step 2: Convert to fraction form
    3,876.64/5,349.83 = 2,108.30/x
  3. Step 3: Cross multiply
    3,876.64x = 5,349.83 × 2,108.30
  4. Step 4: Simplify right side
    3,876.64x = 11,279,009.30
  5. Step 5: Solve for x
    x = 11,279,009.30/3,876.64
  6. Step 6: Final answer
    x = 2,909.48

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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.