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Finding the Fourth Proportional to 5,942.96, 8,148.08 and 5,837.60

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Solution

The fourth proportional to 5,942.96, 8,148.08 and 5,837.60 is: 8,003.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,942.96 : 8,148.08 = 5,837.60 : x
  2. Step 2: Convert to fraction form
    5,942.96/8,148.08 = 5,837.60/x
  3. Step 3: Cross multiply
    5,942.96x = 8,148.08 × 5,837.60
  4. Step 4: Simplify right side
    5,942.96x = 47,565,231.81
  5. Step 5: Solve for x
    x = 47,565,231.81/5,942.96
  6. Step 6: Final answer
    x = 8,003.63

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.