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Finding the Fourth Proportional to 4,052, 6,067.56 and 2,409.68

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Solution

The fourth proportional to 4,052, 6,067.56 and 2,409.68 is: 3,608.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,052 : 6,067.56 = 2,409.68 : x
  2. Step 2: Convert to fraction form
    4,052/6,067.56 = 2,409.68/x
  3. Step 3: Cross multiply
    4,052x = 6,067.56 × 2,409.68
  4. Step 4: Simplify right side
    4,052x = 14,620,877.98
  5. Step 5: Solve for x
    x = 14,620,877.98/4,052
  6. Step 6: Final answer
    x = 3,608.31

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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.