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Finding the Fourth Proportional to 5,839.59, 8,058.63 and 4,163.91

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Solution

The fourth proportional to 5,839.59, 8,058.63 and 4,163.91 is: 5,746.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,839.59 : 8,058.63 = 4,163.91 : x
  2. Step 2: Convert to fraction form
    5,839.59/8,058.63 = 4,163.91/x
  3. Step 3: Cross multiply
    5,839.59x = 8,058.63 × 4,163.91
  4. Step 4: Simplify right side
    5,839.59x = 33,555,410.04
  5. Step 5: Solve for x
    x = 33,555,410.04/5,839.59
  6. Step 6: Final answer
    x = 5,746.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.