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Finding the Fourth Proportional to 5,942.96, 8,199.40 and 3,458.48

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Solution

The fourth proportional to 5,942.96, 8,199.40 and 3,458.48 is: 4,771.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,942.96 : 8,199.40 = 3,458.48 : x
  2. Step 2: Convert to fraction form
    5,942.96/8,199.40 = 3,458.48/x
  3. Step 3: Cross multiply
    5,942.96x = 8,199.40 × 3,458.48
  4. Step 4: Simplify right side
    5,942.96x = 28,357,460.91
  5. Step 5: Solve for x
    x = 28,357,460.91/5,942.96
  6. Step 6: Final answer
    x = 4,771.61

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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.