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Finding the Fourth Proportional to 4,229.56, 5,836.74 and 2,366.56

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Solution

The fourth proportional to 4,229.56, 5,836.74 and 2,366.56 is: 3,265.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,229.56 : 5,836.74 = 2,366.56 : x
  2. Step 2: Convert to fraction form
    4,229.56/5,836.74 = 2,366.56/x
  3. Step 3: Cross multiply
    4,229.56x = 5,836.74 × 2,366.56
  4. Step 4: Simplify right side
    4,229.56x = 13,812,995.41
  5. Step 5: Solve for x
    x = 13,812,995.41/4,229.56
  6. Step 6: Final answer
    x = 3,265.82

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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.