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Finding the Fourth Proportional to 5,811.14, 8,019.19 and 3,158.49

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Solution

The fourth proportional to 5,811.14, 8,019.19 and 3,158.49 is: 4,358.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,811.14 : 8,019.19 = 3,158.49 : x
  2. Step 2: Convert to fraction form
    5,811.14/8,019.19 = 3,158.49/x
  3. Step 3: Cross multiply
    5,811.14x = 8,019.19 × 3,158.49
  4. Step 4: Simplify right side
    5,811.14x = 25,328,531.42
  5. Step 5: Solve for x
    x = 25,328,531.42/5,811.14
  6. Step 6: Final answer
    x = 4,358.62

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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.