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Finding the Fourth Proportional to 4,613.09, 6,914.16 and 2,661.26

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Solution

The fourth proportional to 4,613.09, 6,914.16 and 2,661.26 is: 3,988.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,613.09 : 6,914.16 = 2,661.26 : x
  2. Step 2: Convert to fraction form
    4,613.09/6,914.16 = 2,661.26/x
  3. Step 3: Cross multiply
    4,613.09x = 6,914.16 × 2,661.26
  4. Step 4: Simplify right side
    4,613.09x = 18,400,342.87
  5. Step 5: Solve for x
    x = 18,400,342.87/4,613.09
  6. Step 6: Final answer
    x = 3,988.73

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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.