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Finding the Fourth Proportional to 6,514.39, 8,989.86 and 3,530.22

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Solution

The fourth proportional to 6,514.39, 8,989.86 and 3,530.22 is: 4,871.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.39 : 8,989.86 = 3,530.22 : x
  2. Step 2: Convert to fraction form
    6,514.39/8,989.86 = 3,530.22/x
  3. Step 3: Cross multiply
    6,514.39x = 8,989.86 × 3,530.22
  4. Step 4: Simplify right side
    6,514.39x = 31,736,183.57
  5. Step 5: Solve for x
    x = 31,736,183.57/6,514.39
  6. Step 6: Final answer
    x = 4,871.71

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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.