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Finding the Fourth Proportional to 3,961.96, 5,466.95 and 2,283.23

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Solution

The fourth proportional to 3,961.96, 5,466.95 and 2,283.23 is: 3,150.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,961.96 : 5,466.95 = 2,283.23 : x
  2. Step 2: Convert to fraction form
    3,961.96/5,466.95 = 2,283.23/x
  3. Step 3: Cross multiply
    3,961.96x = 5,466.95 × 2,283.23
  4. Step 4: Simplify right side
    3,961.96x = 12,482,304.25
  5. Step 5: Solve for x
    x = 12,482,304.25/3,961.96
  6. Step 6: Final answer
    x = 3,150.54

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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.