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Finding the Fourth Proportional to 6,138.28, 8,470.71 and 3,620.50

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Solution

The fourth proportional to 6,138.28, 8,470.71 and 3,620.50 is: 4,996.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.28 : 8,470.71 = 3,620.50 : x
  2. Step 2: Convert to fraction form
    6,138.28/8,470.71 = 3,620.50/x
  3. Step 3: Cross multiply
    6,138.28x = 8,470.71 × 3,620.50
  4. Step 4: Simplify right side
    6,138.28x = 30,668,184.38
  5. Step 5: Solve for x
    x = 30,668,184.38/6,138.28
  6. Step 6: Final answer
    x = 4,996.22

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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.