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Finding the Fourth Proportional to 6,042.09, 8,339.00 and 3,685.60

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Solution

The fourth proportional to 6,042.09, 8,339.00 and 3,685.60 is: 5,086.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,042.09 : 8,339.00 = 3,685.60 : x
  2. Step 2: Convert to fraction form
    6,042.09/8,339.00 = 3,685.60/x
  3. Step 3: Cross multiply
    6,042.09x = 8,339.00 × 3,685.60
  4. Step 4: Simplify right side
    6,042.09x = 30,734,231.13
  5. Step 5: Solve for x
    x = 30,734,231.13/6,042.09
  6. Step 6: Final answer
    x = 5,086.69

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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.