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Finding the Fourth Proportional to 4,610.52, 6,908.81 and 2,142.45

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Solution

The fourth proportional to 4,610.52, 6,908.81 and 2,142.45 is: 3,210.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,610.52 : 6,908.81 = 2,142.45 : x
  2. Step 2: Convert to fraction form
    4,610.52/6,908.81 = 2,142.45/x
  3. Step 3: Cross multiply
    4,610.52x = 6,908.81 × 2,142.45
  4. Step 4: Simplify right side
    4,610.52x = 14,801,769.27
  5. Step 5: Solve for x
    x = 14,801,769.27/4,610.52
  6. Step 6: Final answer
    x = 3,210.43

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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.