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Finding the Fourth Proportional to 5,027.67, 7,538.67 and 2,257.02

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Solution

The fourth proportional to 5,027.67, 7,538.67 and 2,257.02 is: 3,384.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,027.67 : 7,538.67 = 2,257.02 : x
  2. Step 2: Convert to fraction form
    5,027.67/7,538.67 = 2,257.02/x
  3. Step 3: Cross multiply
    5,027.67x = 7,538.67 × 2,257.02
  4. Step 4: Simplify right side
    5,027.67x = 17,014,928.96
  5. Step 5: Solve for x
    x = 17,014,928.96/5,027.67
  6. Step 6: Final answer
    x = 3,384.26

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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.