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Finding the Fourth Proportional to 4,213.62, 6,292.49 and 4,167.86

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Solution

The fourth proportional to 4,213.62, 6,292.49 and 4,167.86 is: 6,224.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,213.62 : 6,292.49 = 4,167.86 : x
  2. Step 2: Convert to fraction form
    4,213.62/6,292.49 = 4,167.86/x
  3. Step 3: Cross multiply
    4,213.62x = 6,292.49 × 4,167.86
  4. Step 4: Simplify right side
    4,213.62x = 26,226,165.07
  5. Step 5: Solve for x
    x = 26,226,165.07/4,213.62
  6. Step 6: Final answer
    x = 6,224.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.