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Finding the Fourth Proportional to 5,825.94, 8,722.62 and 3,147.93

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Solution

The fourth proportional to 5,825.94, 8,722.62 and 3,147.93 is: 4,713.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,825.94 : 8,722.62 = 3,147.93 : x
  2. Step 2: Convert to fraction form
    5,825.94/8,722.62 = 3,147.93/x
  3. Step 3: Cross multiply
    5,825.94x = 8,722.62 × 3,147.93
  4. Step 4: Simplify right side
    5,825.94x = 27,458,189.31
  5. Step 5: Solve for x
    x = 27,458,189.31/5,825.94
  6. Step 6: Final answer
    x = 4,713.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.