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Finding the Fourth Proportional to 3,708.36, 5,563.80 and 3,193.20

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Solution

The fourth proportional to 3,708.36, 5,563.80 and 3,193.20 is: 4,790.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,708.36 : 5,563.80 = 3,193.20 : x
  2. Step 2: Convert to fraction form
    3,708.36/5,563.80 = 3,193.20/x
  3. Step 3: Cross multiply
    3,708.36x = 5,563.80 × 3,193.20
  4. Step 4: Simplify right side
    3,708.36x = 17,766,326.16
  5. Step 5: Solve for x
    x = 17,766,326.16/3,708.36
  6. Step 6: Final answer
    x = 4,790.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.