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Finding the Fourth Proportional to 3,775.96, 5,211.05 and 2,097.38

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Solution

The fourth proportional to 3,775.96, 5,211.05 and 2,097.38 is: 2,894.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.96 : 5,211.05 = 2,097.38 : x
  2. Step 2: Convert to fraction form
    3,775.96/5,211.05 = 2,097.38/x
  3. Step 3: Cross multiply
    3,775.96x = 5,211.05 × 2,097.38
  4. Step 4: Simplify right side
    3,775.96x = 10,929,531.24
  5. Step 5: Solve for x
    x = 10,929,531.24/3,775.96
  6. Step 6: Final answer
    x = 2,894.51

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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.