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Finding the Fourth Proportional to 5,188.92, 7,158.09 and 3,419.88

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Solution

The fourth proportional to 5,188.92, 7,158.09 and 3,419.88 is: 4,717.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.92 : 7,158.09 = 3,419.88 : x
  2. Step 2: Convert to fraction form
    5,188.92/7,158.09 = 3,419.88/x
  3. Step 3: Cross multiply
    5,188.92x = 7,158.09 × 3,419.88
  4. Step 4: Simplify right side
    5,188.92x = 24,479,808.83
  5. Step 5: Solve for x
    x = 24,479,808.83/5,188.92
  6. Step 6: Final answer
    x = 4,717.71

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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.