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Finding the Fourth Proportional to 3,583.17, 5,375.52 and 1,274.67

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Solution

The fourth proportional to 3,583.17, 5,375.52 and 1,274.67 is: 1,912.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,583.17 : 5,375.52 = 1,274.67 : x
  2. Step 2: Convert to fraction form
    3,583.17/5,375.52 = 1,274.67/x
  3. Step 3: Cross multiply
    3,583.17x = 5,375.52 × 1,274.67
  4. Step 4: Simplify right side
    3,583.17x = 6,852,014.08
  5. Step 5: Solve for x
    x = 6,852,014.08/3,583.17
  6. Step 6: Final answer
    x = 1,912.28

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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.