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Finding the Fourth Proportional to 5,891.24, 8,127.84 and 3,650.78

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Solution

The fourth proportional to 5,891.24, 8,127.84 and 3,650.78 is: 5,036.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,891.24 : 8,127.84 = 3,650.78 : x
  2. Step 2: Convert to fraction form
    5,891.24/8,127.84 = 3,650.78/x
  3. Step 3: Cross multiply
    5,891.24x = 8,127.84 × 3,650.78
  4. Step 4: Simplify right side
    5,891.24x = 29,672,955.72
  5. Step 5: Solve for x
    x = 29,672,955.72/5,891.24
  6. Step 6: Final answer
    x = 5,036.79

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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.