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Finding the Fourth Proportional to 3,894.37, 5,374.22 and 2,215.78

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Solution

The fourth proportional to 3,894.37, 5,374.22 and 2,215.78 is: 3,057.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.37 : 5,374.22 = 2,215.78 : x
  2. Step 2: Convert to fraction form
    3,894.37/5,374.22 = 2,215.78/x
  3. Step 3: Cross multiply
    3,894.37x = 5,374.22 × 2,215.78
  4. Step 4: Simplify right side
    3,894.37x = 11,908,064.68
  5. Step 5: Solve for x
    x = 11,908,064.68/3,894.37
  6. Step 6: Final answer
    x = 3,057.77

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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.