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Finding the Fourth Proportional to 4,213.69, 6,320.51 and 1,093.69

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Solution

The fourth proportional to 4,213.69, 6,320.51 and 1,093.69 is: 1,640.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,213.69 : 6,320.51 = 1,093.69 : x
  2. Step 2: Convert to fraction form
    4,213.69/6,320.51 = 1,093.69/x
  3. Step 3: Cross multiply
    4,213.69x = 6,320.51 × 1,093.69
  4. Step 4: Simplify right side
    4,213.69x = 6,912,685.12
  5. Step 5: Solve for x
    x = 6,912,685.12/4,213.69
  6. Step 6: Final answer
    x = 1,640.53

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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.