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Finding the Fourth Proportional to 4,548.56, 6,822.50 and 2,711.34

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Solution

The fourth proportional to 4,548.56, 6,822.50 and 2,711.34 is: 4,066.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,548.56 : 6,822.50 = 2,711.34 : x
  2. Step 2: Convert to fraction form
    4,548.56/6,822.50 = 2,711.34/x
  3. Step 3: Cross multiply
    4,548.56x = 6,822.50 × 2,711.34
  4. Step 4: Simplify right side
    4,548.56x = 18,498,103.59
  5. Step 5: Solve for x
    x = 18,498,103.59/4,548.56
  6. Step 6: Final answer
    x = 4,066.81

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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.