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Finding the Fourth Proportional to 5,211.74, 7,192.32 and 2,853.86

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Solution

The fourth proportional to 5,211.74, 7,192.32 and 2,853.86 is: 3,938.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,211.74 : 7,192.32 = 2,853.86 : x
  2. Step 2: Convert to fraction form
    5,211.74/7,192.32 = 2,853.86/x
  3. Step 3: Cross multiply
    5,211.74x = 7,192.32 × 2,853.86
  4. Step 4: Simplify right side
    5,211.74x = 20,525,874.36
  5. Step 5: Solve for x
    x = 20,525,874.36/5,211.74
  6. Step 6: Final answer
    x = 3,938.39

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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.