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Finding the Fourth Proportional to 5,093.65, 7,027.17 and 2,968.84

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Solution

The fourth proportional to 5,093.65, 7,027.17 and 2,968.84 is: 4,095.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,093.65 : 7,027.17 = 2,968.84 : x
  2. Step 2: Convert to fraction form
    5,093.65/7,027.17 = 2,968.84/x
  3. Step 3: Cross multiply
    5,093.65x = 7,027.17 × 2,968.84
  4. Step 4: Simplify right side
    5,093.65x = 20,862,543.38
  5. Step 5: Solve for x
    x = 20,862,543.38/5,093.65
  6. Step 6: Final answer
    x = 4,095.79

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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.