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Finding the Fourth Proportional to 5,157.42, 7,115.60 and 3,032.27

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Solution

The fourth proportional to 5,157.42, 7,115.60 and 3,032.27 is: 4,183.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157.42 : 7,115.60 = 3,032.27 : x
  2. Step 2: Convert to fraction form
    5,157.42/7,115.60 = 3,032.27/x
  3. Step 3: Cross multiply
    5,157.42x = 7,115.60 × 3,032.27
  4. Step 4: Simplify right side
    5,157.42x = 21,576,420.41
  5. Step 5: Solve for x
    x = 21,576,420.41/5,157.42
  6. Step 6: Final answer
    x = 4,183.57

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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.