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Finding the Fourth Proportional to 4,141.43, 6,208.17 and 2,656.50

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Solution

The fourth proportional to 4,141.43, 6,208.17 and 2,656.50 is: 3,982.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,141.43 : 6,208.17 = 2,656.50 : x
  2. Step 2: Convert to fraction form
    4,141.43/6,208.17 = 2,656.50/x
  3. Step 3: Cross multiply
    4,141.43x = 6,208.17 × 2,656.50
  4. Step 4: Simplify right side
    4,141.43x = 16,491,970.36
  5. Step 5: Solve for x
    x = 16,491,970.36/4,141.43
  6. Step 6: Final answer
    x = 3,982.19

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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.