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Finding the Fourth Proportional to 4,806.66, 6,628.92 and 3,685.62

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Solution

The fourth proportional to 4,806.66, 6,628.92 and 3,685.62 is: 5,082.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806.66 : 6,628.92 = 3,685.62 : x
  2. Step 2: Convert to fraction form
    4,806.66/6,628.92 = 3,685.62/x
  3. Step 3: Cross multiply
    4,806.66x = 6,628.92 × 3,685.62
  4. Step 4: Simplify right side
    4,806.66x = 24,431,680.13
  5. Step 5: Solve for x
    x = 24,431,680.13/4,806.66
  6. Step 6: Final answer
    x = 5,082.88

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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.