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Finding the Fourth Proportional to 4,130.60, 5,704.56 and 3,245

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Solution

The fourth proportional to 4,130.60, 5,704.56 and 3,245 is: 4,481.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,130.60 : 5,704.56 = 3,245 : x
  2. Step 2: Convert to fraction form
    4,130.60/5,704.56 = 3,245/x
  3. Step 3: Cross multiply
    4,130.60x = 5,704.56 × 3,245
  4. Step 4: Simplify right side
    4,130.60x = 18,511,297.20
  5. Step 5: Solve for x
    x = 18,511,297.20/4,130.60
  6. Step 6: Final answer
    x = 4,481.50

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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.