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Finding the Fourth Proportional to 4,584, 6,309.86 and 3,993.51

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Solution

The fourth proportional to 4,584, 6,309.86 and 3,993.51 is: 5,497.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,584 : 6,309.86 = 3,993.51 : x
  2. Step 2: Convert to fraction form
    4,584/6,309.86 = 3,993.51/x
  3. Step 3: Cross multiply
    4,584x = 6,309.86 × 3,993.51
  4. Step 4: Simplify right side
    4,584x = 25,198,469.04
  5. Step 5: Solve for x
    x = 25,198,469.04/4,584
  6. Step 6: Final answer
    x = 5,497.05

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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.