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Finding the Fourth Proportional to 4,723.69, 6,518.69 and 2,627.81

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Solution

The fourth proportional to 4,723.69, 6,518.69 and 2,627.81 is: 3,626.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,723.69 : 6,518.69 = 2,627.81 : x
  2. Step 2: Convert to fraction form
    4,723.69/6,518.69 = 2,627.81/x
  3. Step 3: Cross multiply
    4,723.69x = 6,518.69 × 2,627.81
  4. Step 4: Simplify right side
    4,723.69x = 17,129,891.78
  5. Step 5: Solve for x
    x = 17,129,891.78/4,723.69
  6. Step 6: Final answer
    x = 3,626.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.