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Finding the Fourth Proportional to 4,532.69, 6,236.38 and 3,674.30

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Solution

The fourth proportional to 4,532.69, 6,236.38 and 3,674.30 is: 5,055.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,532.69 : 6,236.38 = 3,674.30 : x
  2. Step 2: Convert to fraction form
    4,532.69/6,236.38 = 3,674.30/x
  3. Step 3: Cross multiply
    4,532.69x = 6,236.38 × 3,674.30
  4. Step 4: Simplify right side
    4,532.69x = 22,914,331.03
  5. Step 5: Solve for x
    x = 22,914,331.03/4,532.69
  6. Step 6: Final answer
    x = 5,055.35

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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.