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Finding the Fourth Proportional to 5,157.16, 7,729.26 and 3,699.16

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Solution

The fourth proportional to 5,157.16, 7,729.26 and 3,699.16 is: 5,544.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157.16 : 7,729.26 = 3,699.16 : x
  2. Step 2: Convert to fraction form
    5,157.16/7,729.26 = 3,699.16/x
  3. Step 3: Cross multiply
    5,157.16x = 7,729.26 × 3,699.16
  4. Step 4: Simplify right side
    5,157.16x = 28,591,769.42
  5. Step 5: Solve for x
    x = 28,591,769.42/5,157.16
  6. Step 6: Final answer
    x = 5,544.09

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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.