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Finding the Fourth Proportional to 5,311.44, 7,969.68 and 2,848.32

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Solution

The fourth proportional to 5,311.44, 7,969.68 and 2,848.32 is: 4,273.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,311.44 : 7,969.68 = 2,848.32 : x
  2. Step 2: Convert to fraction form
    5,311.44/7,969.68 = 2,848.32/x
  3. Step 3: Cross multiply
    5,311.44x = 7,969.68 × 2,848.32
  4. Step 4: Simplify right side
    5,311.44x = 22,700,198.94
  5. Step 5: Solve for x
    x = 22,700,198.94/5,311.44
  6. Step 6: Final answer
    x = 4,273.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.