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Finding the Fourth Proportional to 5,103.99, 7,647.35 and 2,472.77

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Solution

The fourth proportional to 5,103.99, 7,647.35 and 2,472.77 is: 3,704.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,103.99 : 7,647.35 = 2,472.77 : x
  2. Step 2: Convert to fraction form
    5,103.99/7,647.35 = 2,472.77/x
  3. Step 3: Cross multiply
    5,103.99x = 7,647.35 × 2,472.77
  4. Step 4: Simplify right side
    5,103.99x = 18,910,144.41
  5. Step 5: Solve for x
    x = 18,910,144.41/5,103.99
  6. Step 6: Final answer
    x = 3,704.97

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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.