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Finding the Fourth Proportional to 4,542.56, 6,812.16 and 1,580.24

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Solution

The fourth proportional to 4,542.56, 6,812.16 and 1,580.24 is: 2,369.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,542.56 : 6,812.16 = 1,580.24 : x
  2. Step 2: Convert to fraction form
    4,542.56/6,812.16 = 1,580.24/x
  3. Step 3: Cross multiply
    4,542.56x = 6,812.16 × 1,580.24
  4. Step 4: Simplify right side
    4,542.56x = 10,764,847.72
  5. Step 5: Solve for x
    x = 10,764,847.72/4,542.56
  6. Step 6: Final answer
    x = 2,369.78

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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.