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Finding the Fourth Proportional to 4,908.56, 7,340.64 and 3,149.20

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Solution

The fourth proportional to 4,908.56, 7,340.64 and 3,149.20 is: 4,709.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,908.56 : 7,340.64 = 3,149.20 : x
  2. Step 2: Convert to fraction form
    4,908.56/7,340.64 = 3,149.20/x
  3. Step 3: Cross multiply
    4,908.56x = 7,340.64 × 3,149.20
  4. Step 4: Simplify right side
    4,908.56x = 23,117,143.49
  5. Step 5: Solve for x
    x = 23,117,143.49/4,908.56
  6. Step 6: Final answer
    x = 4,709.56

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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.