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Finding the Fourth Proportional to 3,455.34, 5,181.87 and 1,375.86

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Solution

The fourth proportional to 3,455.34, 5,181.87 and 1,375.86 is: 2,063.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,455.34 : 5,181.87 = 1,375.86 : x
  2. Step 2: Convert to fraction form
    3,455.34/5,181.87 = 1,375.86/x
  3. Step 3: Cross multiply
    3,455.34x = 5,181.87 × 1,375.86
  4. Step 4: Simplify right side
    3,455.34x = 7,129,527.66
  5. Step 5: Solve for x
    x = 7,129,527.66/3,455.34
  6. Step 6: Final answer
    x = 2,063.34

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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.