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Finding the Fourth Proportional to 5,236.56, 7,855.92 and 1,538.88

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Solution

The fourth proportional to 5,236.56, 7,855.92 and 1,538.88 is: 2,308.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,236.56 : 7,855.92 = 1,538.88 : x
  2. Step 2: Convert to fraction form
    5,236.56/7,855.92 = 1,538.88/x
  3. Step 3: Cross multiply
    5,236.56x = 7,855.92 × 1,538.88
  4. Step 4: Simplify right side
    5,236.56x = 12,089,318.17
  5. Step 5: Solve for x
    x = 12,089,318.17/5,236.56
  6. Step 6: Final answer
    x = 2,308.64

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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.