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Finding the Fourth Proportional to 6,058.85, 8,365.36 and 4,640.03

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Solution

The fourth proportional to 6,058.85, 8,365.36 and 4,640.03 is: 6,406.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,058.85 : 8,365.36 = 4,640.03 : x
  2. Step 2: Convert to fraction form
    6,058.85/8,365.36 = 4,640.03/x
  3. Step 3: Cross multiply
    6,058.85x = 8,365.36 × 4,640.03
  4. Step 4: Simplify right side
    6,058.85x = 38,815,519.07
  5. Step 5: Solve for x
    x = 38,815,519.07/6,058.85
  6. Step 6: Final answer
    x = 6,406.42

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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.