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Finding the Fourth Proportional to 5,923.86, 8,876.05 and 2,026.14

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Solution

The fourth proportional to 5,923.86, 8,876.05 and 2,026.14 is: 3,035.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,923.86 : 8,876.05 = 2,026.14 : x
  2. Step 2: Convert to fraction form
    5,923.86/8,876.05 = 2,026.14/x
  3. Step 3: Cross multiply
    5,923.86x = 8,876.05 × 2,026.14
  4. Step 4: Simplify right side
    5,923.86x = 17,984,119.95
  5. Step 5: Solve for x
    x = 17,984,119.95/5,923.86
  6. Step 6: Final answer
    x = 3,035.88

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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.