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Finding the Fourth Proportional to 5,173.66, 7,754.12 and 2,396.57

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Solution

The fourth proportional to 5,173.66, 7,754.12 and 2,396.57 is: 3,591.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,173.66 : 7,754.12 = 2,396.57 : x
  2. Step 2: Convert to fraction form
    5,173.66/7,754.12 = 2,396.57/x
  3. Step 3: Cross multiply
    5,173.66x = 7,754.12 × 2,396.57
  4. Step 4: Simplify right side
    5,173.66x = 18,583,279.39
  5. Step 5: Solve for x
    x = 18,583,279.39/5,173.66
  6. Step 6: Final answer
    x = 3,591.91

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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.