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Finding the Fourth Proportional to 5,211.68, 7,192.36 and 2,854

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Solution

The fourth proportional to 5,211.68, 7,192.36 and 2,854 is: 3,938.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,211.68 : 7,192.36 = 2,854 : x
  2. Step 2: Convert to fraction form
    5,211.68/7,192.36 = 2,854/x
  3. Step 3: Cross multiply
    5,211.68x = 7,192.36 × 2,854
  4. Step 4: Simplify right side
    5,211.68x = 20,526,995.44
  5. Step 5: Solve for x
    x = 20,526,995.44/5,211.68
  6. Step 6: Final answer
    x = 3,938.65

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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.