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Finding the Fourth Proportional to 3,894.36, 5,374.19 and 2,125.97

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Solution

The fourth proportional to 3,894.36, 5,374.19 and 2,125.97 is: 2,933.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.36 : 5,374.19 = 2,125.97 : x
  2. Step 2: Convert to fraction form
    3,894.36/5,374.19 = 2,125.97/x
  3. Step 3: Cross multiply
    3,894.36x = 5,374.19 × 2,125.97
  4. Step 4: Simplify right side
    3,894.36x = 11,425,329.21
  5. Step 5: Solve for x
    x = 11,425,329.21/3,894.36
  6. Step 6: Final answer
    x = 2,933.81

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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.