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Finding the Fourth Proportional to 5,914.24, 8,161.44 and 3,820.48

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Solution

The fourth proportional to 5,914.24, 8,161.44 and 3,820.48 is: 5,272.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,914.24 : 8,161.44 = 3,820.48 : x
  2. Step 2: Convert to fraction form
    5,914.24/8,161.44 = 3,820.48/x
  3. Step 3: Cross multiply
    5,914.24x = 8,161.44 × 3,820.48
  4. Step 4: Simplify right side
    5,914.24x = 31,180,618.29
  5. Step 5: Solve for x
    x = 31,180,618.29/5,914.24
  6. Step 6: Final answer
    x = 5,272.13

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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.