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Finding the Fourth Proportional to 6,044.63, 8,342.19 and 3,686.31

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Solution

The fourth proportional to 6,044.63, 8,342.19 and 3,686.31 is: 5,087.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,044.63 : 8,342.19 = 3,686.31 : x
  2. Step 2: Convert to fraction form
    6,044.63/8,342.19 = 3,686.31/x
  3. Step 3: Cross multiply
    6,044.63x = 8,342.19 × 3,686.31
  4. Step 4: Simplify right side
    6,044.63x = 30,751,898.42
  5. Step 5: Solve for x
    x = 30,751,898.42/6,044.63
  6. Step 6: Final answer
    x = 5,087.48

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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.