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Finding the Fourth Proportional to 5,344.68, 8,006.14 and 4,361

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Solution

The fourth proportional to 5,344.68, 8,006.14 and 4,361 is: 6,532.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,344.68 : 8,006.14 = 4,361 : x
  2. Step 2: Convert to fraction form
    5,344.68/8,006.14 = 4,361/x
  3. Step 3: Cross multiply
    5,344.68x = 8,006.14 × 4,361
  4. Step 4: Simplify right side
    5,344.68x = 34,914,776.54
  5. Step 5: Solve for x
    x = 34,914,776.54/5,344.68
  6. Step 6: Final answer
    x = 6,532.62

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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.