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Finding the Fourth Proportional to 6,057.38, 9,077.54 and 4,819.28

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Solution

The fourth proportional to 6,057.38, 9,077.54 and 4,819.28 is: 7,222.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,057.38 : 9,077.54 = 4,819.28 : x
  2. Step 2: Convert to fraction form
    6,057.38/9,077.54 = 4,819.28/x
  3. Step 3: Cross multiply
    6,057.38x = 9,077.54 × 4,819.28
  4. Step 4: Simplify right side
    6,057.38x = 43,747,206.97
  5. Step 5: Solve for x
    x = 43,747,206.97/6,057.38
  6. Step 6: Final answer
    x = 7,222.13

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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.