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Finding the Fourth Proportional to 4,819.38, 6,650.28 and 2,802.24

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Solution

The fourth proportional to 4,819.38, 6,650.28 and 2,802.24 is: 3,866.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,819.38 : 6,650.28 = 2,802.24 : x
  2. Step 2: Convert to fraction form
    4,819.38/6,650.28 = 2,802.24/x
  3. Step 3: Cross multiply
    4,819.38x = 6,650.28 × 2,802.24
  4. Step 4: Simplify right side
    4,819.38x = 18,635,680.63
  5. Step 5: Solve for x
    x = 18,635,680.63/4,819.38
  6. Step 6: Final answer
    x = 3,866.82

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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.