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Finding the Fourth Proportional to 3,189.45, 4,777.25 and 1,542.53

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Solution

The fourth proportional to 3,189.45, 4,777.25 and 1,542.53 is: 2,310.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.45 : 4,777.25 = 1,542.53 : x
  2. Step 2: Convert to fraction form
    3,189.45/4,777.25 = 1,542.53/x
  3. Step 3: Cross multiply
    3,189.45x = 4,777.25 × 1,542.53
  4. Step 4: Simplify right side
    3,189.45x = 7,369,051.44
  5. Step 5: Solve for x
    x = 7,369,051.44/3,189.45
  6. Step 6: Final answer
    x = 2,310.45

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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.