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Finding the Fourth Proportional to 3,911.96, 5,396.70 and 2,255

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Solution

The fourth proportional to 3,911.96, 5,396.70 and 2,255 is: 3,110.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911.96 : 5,396.70 = 2,255 : x
  2. Step 2: Convert to fraction form
    3,911.96/5,396.70 = 2,255/x
  3. Step 3: Cross multiply
    3,911.96x = 5,396.70 × 2,255
  4. Step 4: Simplify right side
    3,911.96x = 12,169,558.50
  5. Step 5: Solve for x
    x = 12,169,558.50/3,911.96
  6. Step 6: Final answer
    x = 3,110.86

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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.