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Finding the Fourth Proportional to 3,541.85, 5,313.44 and 1,900.22

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Solution

The fourth proportional to 3,541.85, 5,313.44 and 1,900.22 is: 2,850.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,541.85 : 5,313.44 = 1,900.22 : x
  2. Step 2: Convert to fraction form
    3,541.85/5,313.44 = 1,900.22/x
  3. Step 3: Cross multiply
    3,541.85x = 5,313.44 × 1,900.22
  4. Step 4: Simplify right side
    3,541.85x = 10,096,722.99
  5. Step 5: Solve for x
    x = 10,096,722.99/3,541.85
  6. Step 6: Final answer
    x = 2,850.70

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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.