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Finding the Fourth Proportional to 3,992.88, 5,509.38 and 2,224.17

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Solution

The fourth proportional to 3,992.88, 5,509.38 and 2,224.17 is: 3,068.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,992.88 : 5,509.38 = 2,224.17 : x
  2. Step 2: Convert to fraction form
    3,992.88/5,509.38 = 2,224.17/x
  3. Step 3: Cross multiply
    3,992.88x = 5,509.38 × 2,224.17
  4. Step 4: Simplify right side
    3,992.88x = 12,253,797.71
  5. Step 5: Solve for x
    x = 12,253,797.71/3,992.88
  6. Step 6: Final answer
    x = 3,068.91

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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.