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Finding the Fourth Proportional to 5,883.22, 8,113.80 and 4,201.48

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Solution

The fourth proportional to 5,883.22, 8,113.80 and 4,201.48 is: 5,794.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,883.22 : 8,113.80 = 4,201.48 : x
  2. Step 2: Convert to fraction form
    5,883.22/8,113.80 = 4,201.48/x
  3. Step 3: Cross multiply
    5,883.22x = 8,113.80 × 4,201.48
  4. Step 4: Simplify right side
    5,883.22x = 34,089,968.42
  5. Step 5: Solve for x
    x = 34,089,968.42/5,883.22
  6. Step 6: Final answer
    x = 5,794.44

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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.