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Finding the Fourth Proportional to 3,858.07, 5,778.91 and 3,579.23

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Solution

The fourth proportional to 3,858.07, 5,778.91 and 3,579.23 is: 5,361.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.07 : 5,778.91 = 3,579.23 : x
  2. Step 2: Convert to fraction form
    3,858.07/5,778.91 = 3,579.23/x
  3. Step 3: Cross multiply
    3,858.07x = 5,778.91 × 3,579.23
  4. Step 4: Simplify right side
    3,858.07x = 20,684,048.04
  5. Step 5: Solve for x
    x = 20,684,048.04/3,858.07
  6. Step 6: Final answer
    x = 5,361.24

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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.