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Finding the Fourth Proportional to 5,470.69, 8,207.12 and 2,007.97

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Solution

The fourth proportional to 5,470.69, 8,207.12 and 2,007.97 is: 3,012.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470.69 : 8,207.12 = 2,007.97 : x
  2. Step 2: Convert to fraction form
    5,470.69/8,207.12 = 2,007.97/x
  3. Step 3: Cross multiply
    5,470.69x = 8,207.12 × 2,007.97
  4. Step 4: Simplify right side
    5,470.69x = 16,479,640.71
  5. Step 5: Solve for x
    x = 16,479,640.71/5,470.69
  6. Step 6: Final answer
    x = 3,012.35

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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.