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Finding the Fourth Proportional to 6,284.52, 9,428.22 and 2,819.88

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Solution

The fourth proportional to 6,284.52, 9,428.22 and 2,819.88 is: 4,230.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,284.52 : 9,428.22 = 2,819.88 : x
  2. Step 2: Convert to fraction form
    6,284.52/9,428.22 = 2,819.88/x
  3. Step 3: Cross multiply
    6,284.52x = 9,428.22 × 2,819.88
  4. Step 4: Simplify right side
    6,284.52x = 26,586,449.01
  5. Step 5: Solve for x
    x = 26,586,449.01/6,284.52
  6. Step 6: Final answer
    x = 4,230.47

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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.