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Finding the Fourth Proportional to 4,229.32, 5,836.40 and 2,366.32

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Solution

The fourth proportional to 4,229.32, 5,836.40 and 2,366.32 is: 3,265.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,229.32 : 5,836.40 = 2,366.32 : x
  2. Step 2: Convert to fraction form
    4,229.32/5,836.40 = 2,366.32/x
  3. Step 3: Cross multiply
    4,229.32x = 5,836.40 × 2,366.32
  4. Step 4: Simplify right side
    4,229.32x = 13,810,790.05
  5. Step 5: Solve for x
    x = 13,810,790.05/4,229.32
  6. Step 6: Final answer
    x = 3,265.49

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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.