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Finding the Fourth Proportional to 3,911.84, 5,399.44 and 2,255.52

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Solution

The fourth proportional to 3,911.84, 5,399.44 and 2,255.52 is: 3,113.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911.84 : 5,399.44 = 2,255.52 : x
  2. Step 2: Convert to fraction form
    3,911.84/5,399.44 = 2,255.52/x
  3. Step 3: Cross multiply
    3,911.84x = 5,399.44 × 2,255.52
  4. Step 4: Simplify right side
    3,911.84x = 12,178,544.91
  5. Step 5: Solve for x
    x = 12,178,544.91/3,911.84
  6. Step 6: Final answer
    x = 3,113.25

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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.