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Finding the Fourth Proportional to 4,818.69, 7,224.39 and 3,844.26

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Solution

The fourth proportional to 4,818.69, 7,224.39 and 3,844.26 is: 5,763.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,818.69 : 7,224.39 = 3,844.26 : x
  2. Step 2: Convert to fraction form
    4,818.69/7,224.39 = 3,844.26/x
  3. Step 3: Cross multiply
    4,818.69x = 7,224.39 × 3,844.26
  4. Step 4: Simplify right side
    4,818.69x = 27,772,433.50
  5. Step 5: Solve for x
    x = 27,772,433.50/4,818.69
  6. Step 6: Final answer
    x = 5,763.48

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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.