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Finding the Fourth Proportional to 5,224.05, 7,838.77 and 3,470.27

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Solution

The fourth proportional to 5,224.05, 7,838.77 and 3,470.27 is: 5,207.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,224.05 : 7,838.77 = 3,470.27 : x
  2. Step 2: Convert to fraction form
    5,224.05/7,838.77 = 3,470.27/x
  3. Step 3: Cross multiply
    5,224.05x = 7,838.77 × 3,470.27
  4. Step 4: Simplify right side
    5,224.05x = 27,202,600.50
  5. Step 5: Solve for x
    x = 27,202,600.50/5,224.05
  6. Step 6: Final answer
    x = 5,207.19

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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.