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Finding the Fourth Proportional to 3,189.44, 4,778.40 and 2,504

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Solution

The fourth proportional to 3,189.44, 4,778.40 and 2,504 is: 3,751.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.44 : 4,778.40 = 2,504 : x
  2. Step 2: Convert to fraction form
    3,189.44/4,778.40 = 2,504/x
  3. Step 3: Cross multiply
    3,189.44x = 4,778.40 × 2,504
  4. Step 4: Simplify right side
    3,189.44x = 11,965,113.60
  5. Step 5: Solve for x
    x = 11,965,113.60/3,189.44
  6. Step 6: Final answer
    x = 3,751.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.