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Finding the Fourth Proportional to 5,467.69, 7,550.18 and 4,286.71

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Solution

The fourth proportional to 5,467.69, 7,550.18 and 4,286.71 is: 5,919.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,467.69 : 7,550.18 = 4,286.71 : x
  2. Step 2: Convert to fraction form
    5,467.69/7,550.18 = 4,286.71/x
  3. Step 3: Cross multiply
    5,467.69x = 7,550.18 × 4,286.71
  4. Step 4: Simplify right side
    5,467.69x = 32,365,432.11
  5. Step 5: Solve for x
    x = 32,365,432.11/5,467.69
  6. Step 6: Final answer
    x = 5,919.40

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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.