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Finding the Fourth Proportional to 5,262.24, 7,887.76 and 3,959.68

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Solution

The fourth proportional to 5,262.24, 7,887.76 and 3,959.68 is: 5,935.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,262.24 : 7,887.76 = 3,959.68 : x
  2. Step 2: Convert to fraction form
    5,262.24/7,887.76 = 3,959.68/x
  3. Step 3: Cross multiply
    5,262.24x = 7,887.76 × 3,959.68
  4. Step 4: Simplify right side
    5,262.24x = 31,233,005.52
  5. Step 5: Solve for x
    x = 31,233,005.52/5,262.24
  6. Step 6: Final answer
    x = 5,935.31

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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.