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Finding the Fourth Proportional to 4,615, 6,367.16 and 2,727.19

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Solution

The fourth proportional to 4,615, 6,367.16 and 2,727.19 is: 3,762.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,615 : 6,367.16 = 2,727.19 : x
  2. Step 2: Convert to fraction form
    4,615/6,367.16 = 2,727.19/x
  3. Step 3: Cross multiply
    4,615x = 6,367.16 × 2,727.19
  4. Step 4: Simplify right side
    4,615x = 17,364,441.44
  5. Step 5: Solve for x
    x = 17,364,441.44/4,615
  6. Step 6: Final answer
    x = 3,762.61

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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.