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Finding the Fourth Proportional to 3,876.50, 5,349.54 and 2,108.10

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Solution

The fourth proportional to 3,876.50, 5,349.54 and 2,108.10 is: 2,909.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.50 : 5,349.54 = 2,108.10 : x
  2. Step 2: Convert to fraction form
    3,876.50/5,349.54 = 2,108.10/x
  3. Step 3: Cross multiply
    3,876.50x = 5,349.54 × 2,108.10
  4. Step 4: Simplify right side
    3,876.50x = 11,277,378.19
  5. Step 5: Solve for x
    x = 11,277,378.19/3,876.50
  6. Step 6: Final answer
    x = 2,909.17

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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.