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Finding the Fourth Proportional to 5,252.82, 7,889.13 and 4,819.38

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Solution

The fourth proportional to 5,252.82, 7,889.13 and 4,819.38 is: 7,238.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,252.82 : 7,889.13 = 4,819.38 : x
  2. Step 2: Convert to fraction form
    5,252.82/7,889.13 = 4,819.38/x
  3. Step 3: Cross multiply
    5,252.82x = 7,889.13 × 4,819.38
  4. Step 4: Simplify right side
    5,252.82x = 38,020,715.34
  5. Step 5: Solve for x
    x = 38,020,715.34/5,252.82
  6. Step 6: Final answer
    x = 7,238.15

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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.