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Finding the Fourth Proportional to 3,213.70, 4,820.64 and 905.20

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Solution

The fourth proportional to 3,213.70, 4,820.64 and 905.20 is: 1,357.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213.70 : 4,820.64 = 905.20 : x
  2. Step 2: Convert to fraction form
    3,213.70/4,820.64 = 905.20/x
  3. Step 3: Cross multiply
    3,213.70x = 4,820.64 × 905.20
  4. Step 4: Simplify right side
    3,213.70x = 4,363,643.33
  5. Step 5: Solve for x
    x = 4,363,643.33/3,213.70
  6. Step 6: Final answer
    x = 1,357.83

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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.