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Finding the Fourth Proportional to 3,476.75, 5,214.71 and 1,396.67

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Solution

The fourth proportional to 3,476.75, 5,214.71 and 1,396.67 is: 2,094.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476.75 : 5,214.71 = 1,396.67 : x
  2. Step 2: Convert to fraction form
    3,476.75/5,214.71 = 1,396.67/x
  3. Step 3: Cross multiply
    3,476.75x = 5,214.71 × 1,396.67
  4. Step 4: Simplify right side
    3,476.75x = 7,283,206.43
  5. Step 5: Solve for x
    x = 7,283,206.43/3,476.75
  6. Step 6: Final answer
    x = 2,094.83

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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.