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Finding the Fourth Proportional to 3,894.62, 5,374.36 and 2,126.19

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Solution

The fourth proportional to 3,894.62, 5,374.36 and 2,126.19 is: 2,934.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.62 : 5,374.36 = 2,126.19 : x
  2. Step 2: Convert to fraction form
    3,894.62/5,374.36 = 2,126.19/x
  3. Step 3: Cross multiply
    3,894.62x = 5,374.36 × 2,126.19
  4. Step 4: Simplify right side
    3,894.62x = 11,426,910.49
  5. Step 5: Solve for x
    x = 11,426,910.49/3,894.62
  6. Step 6: Final answer
    x = 2,934.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.