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Finding the Fourth Proportional to 6,058.78, 8,361.29 and 3,406.43

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Solution

The fourth proportional to 6,058.78, 8,361.29 and 3,406.43 is: 4,700.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,058.78 : 8,361.29 = 3,406.43 : x
  2. Step 2: Convert to fraction form
    6,058.78/8,361.29 = 3,406.43/x
  3. Step 3: Cross multiply
    6,058.78x = 8,361.29 × 3,406.43
  4. Step 4: Simplify right side
    6,058.78x = 28,482,149.09
  5. Step 5: Solve for x
    x = 28,482,149.09/6,058.78
  6. Step 6: Final answer
    x = 4,700.97

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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.