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Finding the Fourth Proportional to 6,003.78, 8,290.92 and 5,676.54

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Solution

The fourth proportional to 6,003.78, 8,290.92 and 5,676.54 is: 7,839.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,003.78 : 8,290.92 = 5,676.54 : x
  2. Step 2: Convert to fraction form
    6,003.78/8,290.92 = 5,676.54/x
  3. Step 3: Cross multiply
    6,003.78x = 8,290.92 × 5,676.54
  4. Step 4: Simplify right side
    6,003.78x = 47,063,739.02
  5. Step 5: Solve for x
    x = 47,063,739.02/6,003.78
  6. Step 6: Final answer
    x = 7,839.02

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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.