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Finding the Fourth Proportional to 6,042.94, 8,340.17 and 3,686.45

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Solution

The fourth proportional to 6,042.94, 8,340.17 and 3,686.45 is: 5,087.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,042.94 : 8,340.17 = 3,686.45 : x
  2. Step 2: Convert to fraction form
    6,042.94/8,340.17 = 3,686.45/x
  3. Step 3: Cross multiply
    6,042.94x = 8,340.17 × 3,686.45
  4. Step 4: Simplify right side
    6,042.94x = 30,745,559.56
  5. Step 5: Solve for x
    x = 30,745,559.56/6,042.94
  6. Step 6: Final answer
    x = 5,087.85

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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.