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Finding the Fourth Proportional to 4,814.39, 6,643.97 and 2,826.38

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Solution

The fourth proportional to 4,814.39, 6,643.97 and 2,826.38 is: 3,900.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,814.39 : 6,643.97 = 2,826.38 : x
  2. Step 2: Convert to fraction form
    4,814.39/6,643.97 = 2,826.38/x
  3. Step 3: Cross multiply
    4,814.39x = 6,643.97 × 2,826.38
  4. Step 4: Simplify right side
    4,814.39x = 18,778,383.93
  5. Step 5: Solve for x
    x = 18,778,383.93/4,814.39
  6. Step 6: Final answer
    x = 3,900.47

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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.