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Finding the Fourth Proportional to 4,409.76, 6,612.69 and 2,067.87

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Solution

The fourth proportional to 4,409.76, 6,612.69 and 2,067.87 is: 3,100.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,409.76 : 6,612.69 = 2,067.87 : x
  2. Step 2: Convert to fraction form
    4,409.76/6,612.69 = 2,067.87/x
  3. Step 3: Cross multiply
    4,409.76x = 6,612.69 × 2,067.87
  4. Step 4: Simplify right side
    4,409.76x = 13,674,183.27
  5. Step 5: Solve for x
    x = 13,674,183.27/4,409.76
  6. Step 6: Final answer
    x = 3,100.89

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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.