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Finding the Fourth Proportional to 3,642.08, 5,028.21 and 3,431.89

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Solution

The fourth proportional to 3,642.08, 5,028.21 and 3,431.89 is: 4,738.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.08 : 5,028.21 = 3,431.89 : x
  2. Step 2: Convert to fraction form
    3,642.08/5,028.21 = 3,431.89/x
  3. Step 3: Cross multiply
    3,642.08x = 5,028.21 × 3,431.89
  4. Step 4: Simplify right side
    3,642.08x = 17,256,263.62
  5. Step 5: Solve for x
    x = 17,256,263.62/3,642.08
  6. Step 6: Final answer
    x = 4,738.02

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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.