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Finding the Fourth Proportional to 3,491.38, 5,238.05 and 1,412.85

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Solution

The fourth proportional to 3,491.38, 5,238.05 and 1,412.85 is: 2,119.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.38 : 5,238.05 = 1,412.85 : x
  2. Step 2: Convert to fraction form
    3,491.38/5,238.05 = 1,412.85/x
  3. Step 3: Cross multiply
    3,491.38x = 5,238.05 × 1,412.85
  4. Step 4: Simplify right side
    3,491.38x = 7,400,562.64
  5. Step 5: Solve for x
    x = 7,400,562.64/3,491.38
  6. Step 6: Final answer
    x = 2,119.67

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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.