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Finding the Fourth Proportional to 4,213.68, 6,309.48 and 3,338.16

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Solution

The fourth proportional to 4,213.68, 6,309.48 and 3,338.16 is: 4,998.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,213.68 : 6,309.48 = 3,338.16 : x
  2. Step 2: Convert to fraction form
    4,213.68/6,309.48 = 3,338.16/x
  3. Step 3: Cross multiply
    4,213.68x = 6,309.48 × 3,338.16
  4. Step 4: Simplify right side
    4,213.68x = 21,062,053.76
  5. Step 5: Solve for x
    x = 21,062,053.76/4,213.68
  6. Step 6: Final answer
    x = 4,998.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.