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Finding the Fourth Proportional to 3,365.83, 4,642.09 and 2,825.38

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Solution

The fourth proportional to 3,365.83, 4,642.09 and 2,825.38 is: 3,896.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,365.83 : 4,642.09 = 2,825.38 : x
  2. Step 2: Convert to fraction form
    3,365.83/4,642.09 = 2,825.38/x
  3. Step 3: Cross multiply
    3,365.83x = 4,642.09 × 2,825.38
  4. Step 4: Simplify right side
    3,365.83x = 13,115,668.24
  5. Step 5: Solve for x
    x = 13,115,668.24/3,365.83
  6. Step 6: Final answer
    x = 3,896.71

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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.