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Finding the Fourth Proportional to 5,797.86, 7,997.99 and 4,119.95

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Solution

The fourth proportional to 5,797.86, 7,997.99 and 4,119.95 is: 5,683.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797.86 : 7,997.99 = 4,119.95 : x
  2. Step 2: Convert to fraction form
    5,797.86/7,997.99 = 4,119.95/x
  3. Step 3: Cross multiply
    5,797.86x = 7,997.99 × 4,119.95
  4. Step 4: Simplify right side
    5,797.86x = 32,951,258.31
  5. Step 5: Solve for x
    x = 32,951,258.31/5,797.86
  6. Step 6: Final answer
    x = 5,683.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.