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Finding the Fourth Proportional to 5,777.44, 8,664.92 and 1,829.03

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Solution

The fourth proportional to 5,777.44, 8,664.92 and 1,829.03 is: 2,743.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,777.44 : 8,664.92 = 1,829.03 : x
  2. Step 2: Convert to fraction form
    5,777.44/8,664.92 = 1,829.03/x
  3. Step 3: Cross multiply
    5,777.44x = 8,664.92 × 1,829.03
  4. Step 4: Simplify right side
    5,777.44x = 15,848,412.05
  5. Step 5: Solve for x
    x = 15,848,412.05/5,777.44
  6. Step 6: Final answer
    x = 2,743.16

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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.