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Finding the Fourth Proportional to 3,813.21, 5,719.23 and 1,474.32

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Solution

The fourth proportional to 3,813.21, 5,719.23 and 1,474.32 is: 2,211.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.21 : 5,719.23 = 1,474.32 : x
  2. Step 2: Convert to fraction form
    3,813.21/5,719.23 = 1,474.32/x
  3. Step 3: Cross multiply
    3,813.21x = 5,719.23 × 1,474.32
  4. Step 4: Simplify right side
    3,813.21x = 8,431,975.17
  5. Step 5: Solve for x
    x = 8,431,975.17/3,813.21
  6. Step 6: Final answer
    x = 2,211.25

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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.