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Finding the Fourth Proportional to 4,115.88, 6,173.94 and 1,616.96

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Solution

The fourth proportional to 4,115.88, 6,173.94 and 1,616.96 is: 2,425.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,115.88 : 6,173.94 = 1,616.96 : x
  2. Step 2: Convert to fraction form
    4,115.88/6,173.94 = 1,616.96/x
  3. Step 3: Cross multiply
    4,115.88x = 6,173.94 × 1,616.96
  4. Step 4: Simplify right side
    4,115.88x = 9,983,014.02
  5. Step 5: Solve for x
    x = 9,983,014.02/4,115.88
  6. Step 6: Final answer
    x = 2,425.49

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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.