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Finding the Fourth Proportional to 4,263.53, 5,906.48 and 4,161.47

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Solution

The fourth proportional to 4,263.53, 5,906.48 and 4,161.47 is: 5,765.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,263.53 : 5,906.48 = 4,161.47 : x
  2. Step 2: Convert to fraction form
    4,263.53/5,906.48 = 4,161.47/x
  3. Step 3: Cross multiply
    4,263.53x = 5,906.48 × 4,161.47
  4. Step 4: Simplify right side
    4,263.53x = 24,579,588.99
  5. Step 5: Solve for x
    x = 24,579,588.99/4,263.53
  6. Step 6: Final answer
    x = 5,765.09

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.