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Finding the Fourth Proportional to 4,636.06, 6,969.15 and 3,721.64

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Solution

The fourth proportional to 4,636.06, 6,969.15 and 3,721.64 is: 5,594.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,636.06 : 6,969.15 = 3,721.64 : x
  2. Step 2: Convert to fraction form
    4,636.06/6,969.15 = 3,721.64/x
  3. Step 3: Cross multiply
    4,636.06x = 6,969.15 × 3,721.64
  4. Step 4: Simplify right side
    4,636.06x = 25,936,632.56
  5. Step 5: Solve for x
    x = 25,936,632.56/4,636.06
  6. Step 6: Final answer
    x = 5,594.55

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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.