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Finding the Fourth Proportional to 5,105.68, 7,659.34 and 2,184

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Solution

The fourth proportional to 5,105.68, 7,659.34 and 2,184 is: 3,276.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,105.68 : 7,659.34 = 2,184 : x
  2. Step 2: Convert to fraction form
    5,105.68/7,659.34 = 2,184/x
  3. Step 3: Cross multiply
    5,105.68x = 7,659.34 × 2,184
  4. Step 4: Simplify right side
    5,105.68x = 16,727,998.56
  5. Step 5: Solve for x
    x = 16,727,998.56/5,105.68
  6. Step 6: Final answer
    x = 3,276.35

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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.