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Finding the Fourth Proportional to 3,894.99, 5,374.86 and 2,216.81

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Solution

The fourth proportional to 3,894.99, 5,374.86 and 2,216.81 is: 3,059.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.99 : 5,374.86 = 2,216.81 : x
  2. Step 2: Convert to fraction form
    3,894.99/5,374.86 = 2,216.81/x
  3. Step 3: Cross multiply
    3,894.99x = 5,374.86 × 2,216.81
  4. Step 4: Simplify right side
    3,894.99x = 11,915,016.52
  5. Step 5: Solve for x
    x = 11,915,016.52/3,894.99
  6. Step 6: Final answer
    x = 3,059.06

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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.