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Finding the Fourth Proportional to 5,923.44, 8,172 and 3,565.26

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Solution

The fourth proportional to 5,923.44, 8,172 and 3,565.26 is: 4,918.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,923.44 : 8,172 = 3,565.26 : x
  2. Step 2: Convert to fraction form
    5,923.44/8,172 = 3,565.26/x
  3. Step 3: Cross multiply
    5,923.44x = 8,172 × 3,565.26
  4. Step 4: Simplify right side
    5,923.44x = 29,135,304.72
  5. Step 5: Solve for x
    x = 29,135,304.72/5,923.44
  6. Step 6: Final answer
    x = 4,918.65

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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.