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Finding the Fourth Proportional to 5,194.99, 7,778.63 and 2,724.63

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Solution

The fourth proportional to 5,194.99, 7,778.63 and 2,724.63 is: 4,079.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.99 : 7,778.63 = 2,724.63 : x
  2. Step 2: Convert to fraction form
    5,194.99/7,778.63 = 2,724.63/x
  3. Step 3: Cross multiply
    5,194.99x = 7,778.63 × 2,724.63
  4. Step 4: Simplify right side
    5,194.99x = 21,193,866.30
  5. Step 5: Solve for x
    x = 21,193,866.30/5,194.99
  6. Step 6: Final answer
    x = 4,079.67

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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.