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Finding the Fourth Proportional to 5,194.24, 7,790.88 and 2,116

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Solution

The fourth proportional to 5,194.24, 7,790.88 and 2,116 is: 3,173.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.24 : 7,790.88 = 2,116 : x
  2. Step 2: Convert to fraction form
    5,194.24/7,790.88 = 2,116/x
  3. Step 3: Cross multiply
    5,194.24x = 7,790.88 × 2,116
  4. Step 4: Simplify right side
    5,194.24x = 16,485,502.08
  5. Step 5: Solve for x
    x = 16,485,502.08/5,194.24
  6. Step 6: Final answer
    x = 3,173.80

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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.