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Finding the Fourth Proportional to 3,894.39, 5,374.11 and 2,126

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Solution

The fourth proportional to 3,894.39, 5,374.11 and 2,126 is: 2,933.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.39 : 5,374.11 = 2,126 : x
  2. Step 2: Convert to fraction form
    3,894.39/5,374.11 = 2,126/x
  3. Step 3: Cross multiply
    3,894.39x = 5,374.11 × 2,126
  4. Step 4: Simplify right side
    3,894.39x = 11,425,357.86
  5. Step 5: Solve for x
    x = 11,425,357.86/3,894.39
  6. Step 6: Final answer
    x = 2,933.80

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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.