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Finding the Fourth Proportional to 3,992.68, 5,509.74 and 2,224.12

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Solution

The fourth proportional to 3,992.68, 5,509.74 and 2,224.12 is: 3,069.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,992.68 : 5,509.74 = 2,224.12 : x
  2. Step 2: Convert to fraction form
    3,992.68/5,509.74 = 2,224.12/x
  3. Step 3: Cross multiply
    3,992.68x = 5,509.74 × 2,224.12
  4. Step 4: Simplify right side
    3,992.68x = 12,254,322.93
  5. Step 5: Solve for x
    x = 12,254,322.93/3,992.68
  6. Step 6: Final answer
    x = 3,069.20

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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.