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Finding the Fourth Proportional to 5,472.06, 8,209.50 and 1,576.77

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Solution

The fourth proportional to 5,472.06, 8,209.50 and 1,576.77 is: 2,365.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,472.06 : 8,209.50 = 1,576.77 : x
  2. Step 2: Convert to fraction form
    5,472.06/8,209.50 = 1,576.77/x
  3. Step 3: Cross multiply
    5,472.06x = 8,209.50 × 1,576.77
  4. Step 4: Simplify right side
    5,472.06x = 12,944,493.32
  5. Step 5: Solve for x
    x = 12,944,493.32/5,472.06
  6. Step 6: Final answer
    x = 2,365.56

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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.