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Finding the Fourth Proportional to 4,213.38, 6,320.22 and 1,093.30

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Solution

The fourth proportional to 4,213.38, 6,320.22 and 1,093.30 is: 1,639.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,213.38 : 6,320.22 = 1,093.30 : x
  2. Step 2: Convert to fraction form
    4,213.38/6,320.22 = 1,093.30/x
  3. Step 3: Cross multiply
    4,213.38x = 6,320.22 × 1,093.30
  4. Step 4: Simplify right side
    4,213.38x = 6,909,908.53
  5. Step 5: Solve for x
    x = 6,909,908.53/4,213.38
  6. Step 6: Final answer
    x = 1,639.99

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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.