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Finding the Fourth Proportional to 3,894.96, 5,375.01 and 2,126.52

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Solution

The fourth proportional to 3,894.96, 5,375.01 and 2,126.52 is: 2,934.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.96 : 5,375.01 = 2,126.52 : x
  2. Step 2: Convert to fraction form
    3,894.96/5,375.01 = 2,126.52/x
  3. Step 3: Cross multiply
    3,894.96x = 5,375.01 × 2,126.52
  4. Step 4: Simplify right side
    3,894.96x = 11,430,066.27
  5. Step 5: Solve for x
    x = 11,430,066.27/3,894.96
  6. Step 6: Final answer
    x = 2,934.58

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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.