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Finding the Fourth Proportional to 6,147.31, 8,486.61 and 3,757.83

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Solution

The fourth proportional to 6,147.31, 8,486.61 and 3,757.83 is: 5,187.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.31 : 8,486.61 = 3,757.83 : x
  2. Step 2: Convert to fraction form
    6,147.31/8,486.61 = 3,757.83/x
  3. Step 3: Cross multiply
    6,147.31x = 8,486.61 × 3,757.83
  4. Step 4: Simplify right side
    6,147.31x = 31,891,237.66
  5. Step 5: Solve for x
    x = 31,891,237.66/6,147.31
  6. Step 6: Final answer
    x = 5,187.84

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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.