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Finding the Fourth Proportional to 3,747.99, 5,134.70 and 3,607.77

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Solution

The fourth proportional to 3,747.99, 5,134.70 and 3,607.77 is: 4,942.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747.99 : 5,134.70 = 3,607.77 : x
  2. Step 2: Convert to fraction form
    3,747.99/5,134.70 = 3,607.77/x
  3. Step 3: Cross multiply
    3,747.99x = 5,134.70 × 3,607.77
  4. Step 4: Simplify right side
    3,747.99x = 18,524,816.62
  5. Step 5: Solve for x
    x = 18,524,816.62/3,747.99
  6. Step 6: Final answer
    x = 4,942.60

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.