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Finding the Fourth Proportional to 3,847.10, 5,744.43 and 3,058.22

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Solution

The fourth proportional to 3,847.10, 5,744.43 and 3,058.22 is: 4,566.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.10 : 5,744.43 = 3,058.22 : x
  2. Step 2: Convert to fraction form
    3,847.10/5,744.43 = 3,058.22/x
  3. Step 3: Cross multiply
    3,847.10x = 5,744.43 × 3,058.22
  4. Step 4: Simplify right side
    3,847.10x = 17,567,715.42
  5. Step 5: Solve for x
    x = 17,567,715.42/3,847.10
  6. Step 6: Final answer
    x = 4,566.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.