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Finding the Fourth Proportional to 6,189.40, 9,284.19 and 2,029.38

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Solution

The fourth proportional to 6,189.40, 9,284.19 and 2,029.38 is: 3,044.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,189.40 : 9,284.19 = 2,029.38 : x
  2. Step 2: Convert to fraction form
    6,189.40/9,284.19 = 2,029.38/x
  3. Step 3: Cross multiply
    6,189.40x = 9,284.19 × 2,029.38
  4. Step 4: Simplify right side
    6,189.40x = 18,841,149.50
  5. Step 5: Solve for x
    x = 18,841,149.50/6,189.40
  6. Step 6: Final answer
    x = 3,044.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.