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Finding the Fourth Proportional to 5,736.64, 8,605.44 and 2,037.44

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Solution

The fourth proportional to 5,736.64, 8,605.44 and 2,037.44 is: 3,056.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,736.64 : 8,605.44 = 2,037.44 : x
  2. Step 2: Convert to fraction form
    5,736.64/8,605.44 = 2,037.44/x
  3. Step 3: Cross multiply
    5,736.64x = 8,605.44 × 2,037.44
  4. Step 4: Simplify right side
    5,736.64x = 17,533,067.67
  5. Step 5: Solve for x
    x = 17,533,067.67/5,736.64
  6. Step 6: Final answer
    x = 3,056.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.