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Finding the Fourth Proportional to 4,143.88, 6,214 and 2,195.63

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Solution

The fourth proportional to 4,143.88, 6,214 and 2,195.63 is: 3,292.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,143.88 : 6,214 = 2,195.63 : x
  2. Step 2: Convert to fraction form
    4,143.88/6,214 = 2,195.63/x
  3. Step 3: Cross multiply
    4,143.88x = 6,214 × 2,195.63
  4. Step 4: Simplify right side
    4,143.88x = 13,643,644.82
  5. Step 5: Solve for x
    x = 13,643,644.82/4,143.88
  6. Step 6: Final answer
    x = 3,292.48

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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.