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Finding the Fourth Proportional to 3,538.80, 5,306.20 and 1,347.60

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Solution

The fourth proportional to 3,538.80, 5,306.20 and 1,347.60 is: 2,020.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.80 : 5,306.20 = 1,347.60 : x
  2. Step 2: Convert to fraction form
    3,538.80/5,306.20 = 1,347.60/x
  3. Step 3: Cross multiply
    3,538.80x = 5,306.20 × 1,347.60
  4. Step 4: Simplify right side
    3,538.80x = 7,150,635.12
  5. Step 5: Solve for x
    x = 7,150,635.12/3,538.80
  6. Step 6: Final answer
    x = 2,020.64

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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.