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Finding the Fourth Proportional to 5,843.29, 8,020.84 and 5,165.32

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Solution

The fourth proportional to 5,843.29, 8,020.84 and 5,165.32 is: 7,090.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,843.29 : 8,020.84 = 5,165.32 : x
  2. Step 2: Convert to fraction form
    5,843.29/8,020.84 = 5,165.32/x
  3. Step 3: Cross multiply
    5,843.29x = 8,020.84 × 5,165.32
  4. Step 4: Simplify right side
    5,843.29x = 41,430,205.27
  5. Step 5: Solve for x
    x = 41,430,205.27/5,843.29
  6. Step 6: Final answer
    x = 7,090.22

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.