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Finding the Fourth Proportional to 6,680.68, 9,218.81 and 3,695.83

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Solution

The fourth proportional to 6,680.68, 9,218.81 and 3,695.83 is: 5,099.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,680.68 : 9,218.81 = 3,695.83 : x
  2. Step 2: Convert to fraction form
    6,680.68/9,218.81 = 3,695.83/x
  3. Step 3: Cross multiply
    6,680.68x = 9,218.81 × 3,695.83
  4. Step 4: Simplify right side
    6,680.68x = 34,071,140.75
  5. Step 5: Solve for x
    x = 34,071,140.75/6,680.68
  6. Step 6: Final answer
    x = 5,099.95

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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.