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Finding the Fourth Proportional to 4,110.38, 5,669 and 2,617.82

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Solution

The fourth proportional to 4,110.38, 5,669 and 2,617.82 is: 3,610.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,110.38 : 5,669 = 2,617.82 : x
  2. Step 2: Convert to fraction form
    4,110.38/5,669 = 2,617.82/x
  3. Step 3: Cross multiply
    4,110.38x = 5,669 × 2,617.82
  4. Step 4: Simplify right side
    4,110.38x = 14,840,421.58
  5. Step 5: Solve for x
    x = 14,840,421.58/4,110.38
  6. Step 6: Final answer
    x = 3,610.47

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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.