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Finding the Fourth Proportional to 3,470.69, 5,207.34 and 2,084.99

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Solution

The fourth proportional to 3,470.69, 5,207.34 and 2,084.99 is: 3,128.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.69 : 5,207.34 = 2,084.99 : x
  2. Step 2: Convert to fraction form
    3,470.69/5,207.34 = 2,084.99/x
  3. Step 3: Cross multiply
    3,470.69x = 5,207.34 × 2,084.99
  4. Step 4: Simplify right side
    3,470.69x = 10,857,251.83
  5. Step 5: Solve for x
    x = 10,857,251.83/3,470.69
  6. Step 6: Final answer
    x = 3,128.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.