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Finding the Fourth Proportional to 5,378.27, 8,069.72 and 2,783.03

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Solution

The fourth proportional to 5,378.27, 8,069.72 and 2,783.03 is: 4,175.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,378.27 : 8,069.72 = 2,783.03 : x
  2. Step 2: Convert to fraction form
    5,378.27/8,069.72 = 2,783.03/x
  3. Step 3: Cross multiply
    5,378.27x = 8,069.72 × 2,783.03
  4. Step 4: Simplify right side
    5,378.27x = 22,458,272.85
  5. Step 5: Solve for x
    x = 22,458,272.85/5,378.27
  6. Step 6: Final answer
    x = 4,175.74

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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.