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Finding the Fourth Proportional to 5,171.45, 7,757.17 and 2,975.64

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Solution

The fourth proportional to 5,171.45, 7,757.17 and 2,975.64 is: 4,463.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,171.45 : 7,757.17 = 2,975.64 : x
  2. Step 2: Convert to fraction form
    5,171.45/7,757.17 = 2,975.64/x
  3. Step 3: Cross multiply
    5,171.45x = 7,757.17 × 2,975.64
  4. Step 4: Simplify right side
    5,171.45x = 23,082,508.81
  5. Step 5: Solve for x
    x = 23,082,508.81/5,171.45
  6. Step 6: Final answer
    x = 4,463.45

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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.