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Finding the Fourth Proportional to 5,811.56, 8,019.90 and 3,158.90

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Solution

The fourth proportional to 5,811.56, 8,019.90 and 3,158.90 is: 4,359.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,811.56 : 8,019.90 = 3,158.90 : x
  2. Step 2: Convert to fraction form
    5,811.56/8,019.90 = 3,158.90/x
  3. Step 3: Cross multiply
    5,811.56x = 8,019.90 × 3,158.90
  4. Step 4: Simplify right side
    5,811.56x = 25,334,022.01
  5. Step 5: Solve for x
    x = 25,334,022.01/5,811.56
  6. Step 6: Final answer
    x = 4,359.25

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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.