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Finding the Fourth Proportional to 5,121.44, 7,674 and 3,816.32

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Solution

The fourth proportional to 5,121.44, 7,674 and 3,816.32 is: 5,718.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,121.44 : 7,674 = 3,816.32 : x
  2. Step 2: Convert to fraction form
    5,121.44/7,674 = 3,816.32/x
  3. Step 3: Cross multiply
    5,121.44x = 7,674 × 3,816.32
  4. Step 4: Simplify right side
    5,121.44x = 29,286,439.68
  5. Step 5: Solve for x
    x = 29,286,439.68/5,121.44
  6. Step 6: Final answer
    x = 5,718.40

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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.