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Finding the Fourth Proportional to 5,493.27, 8,283 and 5,034

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Solution

The fourth proportional to 5,493.27, 8,283 and 5,034 is: 7,590.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,493.27 : 8,283 = 5,034 : x
  2. Step 2: Convert to fraction form
    5,493.27/8,283 = 5,034/x
  3. Step 3: Cross multiply
    5,493.27x = 8,283 × 5,034
  4. Step 4: Simplify right side
    5,493.27x = 41,696,622
  5. Step 5: Solve for x
    x = 41,696,622/5,493.27
  6. Step 6: Final answer
    x = 7,590.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.