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Finding the Fourth Proportional to 4,842.69, 6,685.38 and 3,427.49

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Solution

The fourth proportional to 4,842.69, 6,685.38 and 3,427.49 is: 4,731.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842.69 : 6,685.38 = 3,427.49 : x
  2. Step 2: Convert to fraction form
    4,842.69/6,685.38 = 3,427.49/x
  3. Step 3: Cross multiply
    4,842.69x = 6,685.38 × 3,427.49
  4. Step 4: Simplify right side
    4,842.69x = 22,914,039.67
  5. Step 5: Solve for x
    x = 22,914,039.67/4,842.69
  6. Step 6: Final answer
    x = 4,731.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.