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Finding the Fourth Proportional to 5,940.76, 8,200.07 and 3,424.55

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Solution

The fourth proportional to 5,940.76, 8,200.07 and 3,424.55 is: 4,726.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,940.76 : 8,200.07 = 3,424.55 : x
  2. Step 2: Convert to fraction form
    5,940.76/8,200.07 = 3,424.55/x
  3. Step 3: Cross multiply
    5,940.76x = 8,200.07 × 3,424.55
  4. Step 4: Simplify right side
    5,940.76x = 28,081,585.20
  5. Step 5: Solve for x
    x = 28,081,585.20/5,940.76
  6. Step 6: Final answer
    x = 4,726.94

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Why These Related Problems?

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