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Finding the Fourth Proportional to 3,771.36, 5,659.24 and 1,579.90

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Solution

The fourth proportional to 3,771.36, 5,659.24 and 1,579.90 is: 2,370.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.36 : 5,659.24 = 1,579.90 : x
  2. Step 2: Convert to fraction form
    3,771.36/5,659.24 = 1,579.90/x
  3. Step 3: Cross multiply
    3,771.36x = 5,659.24 × 1,579.90
  4. Step 4: Simplify right side
    3,771.36x = 8,941,033.28
  5. Step 5: Solve for x
    x = 8,941,033.28/3,771.36
  6. Step 6: Final answer
    x = 2,370.77

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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.