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Finding the Fourth Proportional to 5,738.42, 8,606.64 and 1,577.44

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Solution

The fourth proportional to 5,738.42, 8,606.64 and 1,577.44 is: 2,365.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.42 : 8,606.64 = 1,577.44 : x
  2. Step 2: Convert to fraction form
    5,738.42/8,606.64 = 1,577.44/x
  3. Step 3: Cross multiply
    5,738.42x = 8,606.64 × 1,577.44
  4. Step 4: Simplify right side
    5,738.42x = 13,576,431.93
  5. Step 5: Solve for x
    x = 13,576,431.93/5,738.42
  6. Step 6: Final answer
    x = 2,365.88

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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.