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Finding the Fourth Proportional to 5,940.16, 8,200.82 and 4,436

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Solution

The fourth proportional to 5,940.16, 8,200.82 and 4,436 is: 6,124.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,940.16 : 8,200.82 = 4,436 : x
  2. Step 2: Convert to fraction form
    5,940.16/8,200.82 = 4,436/x
  3. Step 3: Cross multiply
    5,940.16x = 8,200.82 × 4,436
  4. Step 4: Simplify right side
    5,940.16x = 36,378,837.52
  5. Step 5: Solve for x
    x = 36,378,837.52/5,940.16
  6. Step 6: Final answer
    x = 6,124.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.