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Finding the Fourth Proportional to 5,236.25, 7,224.02 and 3,876.76

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Solution

The fourth proportional to 5,236.25, 7,224.02 and 3,876.76 is: 5,348.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,236.25 : 7,224.02 = 3,876.76 : x
  2. Step 2: Convert to fraction form
    5,236.25/7,224.02 = 3,876.76/x
  3. Step 3: Cross multiply
    5,236.25x = 7,224.02 × 3,876.76
  4. Step 4: Simplify right side
    5,236.25x = 28,005,755.66
  5. Step 5: Solve for x
    x = 28,005,755.66/5,236.25
  6. Step 6: Final answer
    x = 5,348.44

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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.