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Finding the Fourth Proportional to 6,046.06, 8,344.48 and 3,689.57

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Solution

The fourth proportional to 6,046.06, 8,344.48 and 3,689.57 is: 5,092.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,046.06 : 8,344.48 = 3,689.57 : x
  2. Step 2: Convert to fraction form
    6,046.06/8,344.48 = 3,689.57/x
  3. Step 3: Cross multiply
    6,046.06x = 8,344.48 × 3,689.57
  4. Step 4: Simplify right side
    6,046.06x = 30,787,543.07
  5. Step 5: Solve for x
    x = 30,787,543.07/6,046.06
  6. Step 6: Final answer
    x = 5,092.17

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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.