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Finding the Fourth Proportional to 3,992.64, 5,509.83 and 2,224.24

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Solution

The fourth proportional to 3,992.64, 5,509.83 and 2,224.24 is: 3,069.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,992.64 : 5,509.83 = 2,224.24 : x
  2. Step 2: Convert to fraction form
    3,992.64/5,509.83 = 2,224.24/x
  3. Step 3: Cross multiply
    3,992.64x = 5,509.83 × 2,224.24
  4. Step 4: Simplify right side
    3,992.64x = 12,255,170.50
  5. Step 5: Solve for x
    x = 12,255,170.50/3,992.64
  6. Step 6: Final answer
    x = 3,069.44

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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.