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Finding the Fourth Proportional to 5,470.75, 8,207.34 and 2,008

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Solution

The fourth proportional to 5,470.75, 8,207.34 and 2,008 is: 3,012.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470.75 : 8,207.34 = 2,008 : x
  2. Step 2: Convert to fraction form
    5,470.75/8,207.34 = 2,008/x
  3. Step 3: Cross multiply
    5,470.75x = 8,207.34 × 2,008
  4. Step 4: Simplify right side
    5,470.75x = 16,480,338.72
  5. Step 5: Solve for x
    x = 16,480,338.72/5,470.75
  6. Step 6: Final answer
    x = 3,012.45

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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.