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Finding the Fourth Proportional to 5,811.34, 8,019.62 and 3,158.72

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Solution

The fourth proportional to 5,811.34, 8,019.62 and 3,158.72 is: 4,359.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,811.34 : 8,019.62 = 3,158.72 : x
  2. Step 2: Convert to fraction form
    5,811.34/8,019.62 = 3,158.72/x
  3. Step 3: Cross multiply
    5,811.34x = 8,019.62 × 3,158.72
  4. Step 4: Simplify right side
    5,811.34x = 25,331,734.09
  5. Step 5: Solve for x
    x = 25,331,734.09/5,811.34
  6. Step 6: Final answer
    x = 4,359.02

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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.