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Finding the Fourth Proportional to 3,499.37, 5,249.83 and 1,034.38

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Solution

The fourth proportional to 3,499.37, 5,249.83 and 1,034.38 is: 1,551.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,499.37 : 5,249.83 = 1,034.38 : x
  2. Step 2: Convert to fraction form
    3,499.37/5,249.83 = 1,034.38/x
  3. Step 3: Cross multiply
    3,499.37x = 5,249.83 × 1,034.38
  4. Step 4: Simplify right side
    3,499.37x = 5,430,328.09
  5. Step 5: Solve for x
    x = 5,430,328.09/3,499.37
  6. Step 6: Final answer
    x = 1,551.80

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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.