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Finding the Fourth Proportional to 6,538.61, 9,028.38 and 4,021.89

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Solution

The fourth proportional to 6,538.61, 9,028.38 and 4,021.89 is: 5,553.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.61 : 9,028.38 = 4,021.89 : x
  2. Step 2: Convert to fraction form
    6,538.61/9,028.38 = 4,021.89/x
  3. Step 3: Cross multiply
    6,538.61x = 9,028.38 × 4,021.89
  4. Step 4: Simplify right side
    6,538.61x = 36,311,151.24
  5. Step 5: Solve for x
    x = 36,311,151.24/6,538.61
  6. Step 6: Final answer
    x = 5,553.34

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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.