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Finding the Fourth Proportional to 3,416.56, 5,124.60 and 1,951.12

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Solution

The fourth proportional to 3,416.56, 5,124.60 and 1,951.12 is: 2,926.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.56 : 5,124.60 = 1,951.12 : x
  2. Step 2: Convert to fraction form
    3,416.56/5,124.60 = 1,951.12/x
  3. Step 3: Cross multiply
    3,416.56x = 5,124.60 × 1,951.12
  4. Step 4: Simplify right side
    3,416.56x = 9,998,709.55
  5. Step 5: Solve for x
    x = 9,998,709.55/3,416.56
  6. Step 6: Final answer
    x = 2,926.54

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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.