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Finding the Fourth Proportional to 4,229.64, 5,836.82 and 2,366.60

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Solution

The fourth proportional to 4,229.64, 5,836.82 and 2,366.60 is: 3,265.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,229.64 : 5,836.82 = 2,366.60 : x
  2. Step 2: Convert to fraction form
    4,229.64/5,836.82 = 2,366.60/x
  3. Step 3: Cross multiply
    4,229.64x = 5,836.82 × 2,366.60
  4. Step 4: Simplify right side
    4,229.64x = 13,813,418.21
  5. Step 5: Solve for x
    x = 13,813,418.21/4,229.64
  6. Step 6: Final answer
    x = 3,265.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.