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Finding the Fourth Proportional to 3,189.44, 4,777.22 and 1,542.51

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Solution

The fourth proportional to 3,189.44, 4,777.22 and 1,542.51 is: 2,310.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.44 : 4,777.22 = 1,542.51 : x
  2. Step 2: Convert to fraction form
    3,189.44/4,777.22 = 1,542.51/x
  3. Step 3: Cross multiply
    3,189.44x = 4,777.22 × 1,542.51
  4. Step 4: Simplify right side
    3,189.44x = 7,368,913.48
  5. Step 5: Solve for x
    x = 7,368,913.48/3,189.44
  6. Step 6: Final answer
    x = 2,310.41

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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.