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Finding the Fourth Proportional to 5,893.32, 8,841.12 and 2,198.16

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Solution

The fourth proportional to 5,893.32, 8,841.12 and 2,198.16 is: 3,297.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,893.32 : 8,841.12 = 2,198.16 : x
  2. Step 2: Convert to fraction form
    5,893.32/8,841.12 = 2,198.16/x
  3. Step 3: Cross multiply
    5,893.32x = 8,841.12 × 2,198.16
  4. Step 4: Simplify right side
    5,893.32x = 19,434,196.34
  5. Step 5: Solve for x
    x = 19,434,196.34/5,893.32
  6. Step 6: Final answer
    x = 3,297.67

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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.