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Finding the Fourth Proportional to 4,469.86, 6,170.86 and 3,055.68

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Solution

The fourth proportional to 4,469.86, 6,170.86 and 3,055.68 is: 4,218.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,469.86 : 6,170.86 = 3,055.68 : x
  2. Step 2: Convert to fraction form
    4,469.86/6,170.86 = 3,055.68/x
  3. Step 3: Cross multiply
    4,469.86x = 6,170.86 × 3,055.68
  4. Step 4: Simplify right side
    4,469.86x = 18,856,173.48
  5. Step 5: Solve for x
    x = 18,856,173.48/4,469.86
  6. Step 6: Final answer
    x = 4,218.52

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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.