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Finding the Fourth Proportional to 5,256.94, 7,887.74 and 2,791.17

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Solution

The fourth proportional to 5,256.94, 7,887.74 and 2,791.17 is: 4,187.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,256.94 : 7,887.74 = 2,791.17 : x
  2. Step 2: Convert to fraction form
    5,256.94/7,887.74 = 2,791.17/x
  3. Step 3: Cross multiply
    5,256.94x = 7,887.74 × 2,791.17
  4. Step 4: Simplify right side
    5,256.94x = 22,016,023.26
  5. Step 5: Solve for x
    x = 22,016,023.26/5,256.94
  6. Step 6: Final answer
    x = 4,187.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.