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Finding the Fourth Proportional to 5,538.40, 8,305.40 and 1,839.60

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Solution

The fourth proportional to 5,538.40, 8,305.40 and 1,839.60 is: 2,758.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,538.40 : 8,305.40 = 1,839.60 : x
  2. Step 2: Convert to fraction form
    5,538.40/8,305.40 = 1,839.60/x
  3. Step 3: Cross multiply
    5,538.40x = 8,305.40 × 1,839.60
  4. Step 4: Simplify right side
    5,538.40x = 15,278,613.84
  5. Step 5: Solve for x
    x = 15,278,613.84/5,538.40
  6. Step 6: Final answer
    x = 2,758.67

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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.