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Finding the Fourth Proportional to 3,475.44, 5,214 and 1,167.12

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Solution

The fourth proportional to 3,475.44, 5,214 and 1,167.12 is: 1,750.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475.44 : 5,214 = 1,167.12 : x
  2. Step 2: Convert to fraction form
    3,475.44/5,214 = 1,167.12/x
  3. Step 3: Cross multiply
    3,475.44x = 5,214 × 1,167.12
  4. Step 4: Simplify right side
    3,475.44x = 6,085,363.68
  5. Step 5: Solve for x
    x = 6,085,363.68/3,475.44
  6. Step 6: Final answer
    x = 1,750.96

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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.