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Finding the Fourth Proportional to 4,613.64, 6,921.26 and 1,494.43

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Solution

The fourth proportional to 4,613.64, 6,921.26 and 1,494.43 is: 2,241.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,613.64 : 6,921.26 = 1,494.43 : x
  2. Step 2: Convert to fraction form
    4,613.64/6,921.26 = 1,494.43/x
  3. Step 3: Cross multiply
    4,613.64x = 6,921.26 × 1,494.43
  4. Step 4: Simplify right side
    4,613.64x = 10,343,355.88
  5. Step 5: Solve for x
    x = 10,343,355.88/4,613.64
  6. Step 6: Final answer
    x = 2,241.91

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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.