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Finding the Fourth Proportional to 6,042.24, 8,339.31 and 3,684.24

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Solution

The fourth proportional to 6,042.24, 8,339.31 and 3,684.24 is: 5,084.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,042.24 : 8,339.31 = 3,684.24 : x
  2. Step 2: Convert to fraction form
    6,042.24/8,339.31 = 3,684.24/x
  3. Step 3: Cross multiply
    6,042.24x = 8,339.31 × 3,684.24
  4. Step 4: Simplify right side
    6,042.24x = 30,724,019.47
  5. Step 5: Solve for x
    x = 30,724,019.47/6,042.24
  6. Step 6: Final answer
    x = 5,084.87

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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.