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Finding the Fourth Proportional to 5,676.08, 7,832.07 and 3,158.19

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Solution

The fourth proportional to 5,676.08, 7,832.07 and 3,158.19 is: 4,357.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676.08 : 7,832.07 = 3,158.19 : x
  2. Step 2: Convert to fraction form
    5,676.08/7,832.07 = 3,158.19/x
  3. Step 3: Cross multiply
    5,676.08x = 7,832.07 × 3,158.19
  4. Step 4: Simplify right side
    5,676.08x = 24,735,165.15
  5. Step 5: Solve for x
    x = 24,735,165.15/5,676.08
  6. Step 6: Final answer
    x = 4,357.79

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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.