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Finding the Fourth Proportional to 5,117.96, 7,679.10 and 1,998.92

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Solution

The fourth proportional to 5,117.96, 7,679.10 and 1,998.92 is: 2,999.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,117.96 : 7,679.10 = 1,998.92 : x
  2. Step 2: Convert to fraction form
    5,117.96/7,679.10 = 1,998.92/x
  3. Step 3: Cross multiply
    5,117.96x = 7,679.10 × 1,998.92
  4. Step 4: Simplify right side
    5,117.96x = 15,349,906.57
  5. Step 5: Solve for x
    x = 15,349,906.57/5,117.96
  6. Step 6: Final answer
    x = 2,999.22

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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.