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Finding the Fourth Proportional to 4,613.22, 6,919.83 and 1,150.47

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Solution

The fourth proportional to 4,613.22, 6,919.83 and 1,150.47 is: 1,725.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,613.22 : 6,919.83 = 1,150.47 : x
  2. Step 2: Convert to fraction form
    4,613.22/6,919.83 = 1,150.47/x
  3. Step 3: Cross multiply
    4,613.22x = 6,919.83 × 1,150.47
  4. Step 4: Simplify right side
    4,613.22x = 7,961,056.82
  5. Step 5: Solve for x
    x = 7,961,056.82/4,613.22
  6. Step 6: Final answer
    x = 1,725.71

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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.