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Finding the Fourth Proportional to 4,273.88, 5,892.80 and 2,781.24

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Solution

The fourth proportional to 4,273.88, 5,892.80 and 2,781.24 is: 3,834.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,273.88 : 5,892.80 = 2,781.24 : x
  2. Step 2: Convert to fraction form
    4,273.88/5,892.80 = 2,781.24/x
  3. Step 3: Cross multiply
    4,273.88x = 5,892.80 × 2,781.24
  4. Step 4: Simplify right side
    4,273.88x = 16,389,291.07
  5. Step 5: Solve for x
    x = 16,389,291.07/4,273.88
  6. Step 6: Final answer
    x = 3,834.76

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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.