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Finding the Fourth Proportional to 5,808.98, 8,020.08 and 3,822.86

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Solution

The fourth proportional to 5,808.98, 8,020.08 and 3,822.86 is: 5,277.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,808.98 : 8,020.08 = 3,822.86 : x
  2. Step 2: Convert to fraction form
    5,808.98/8,020.08 = 3,822.86/x
  3. Step 3: Cross multiply
    5,808.98x = 8,020.08 × 3,822.86
  4. Step 4: Simplify right side
    5,808.98x = 30,659,602.93
  5. Step 5: Solve for x
    x = 30,659,602.93/5,808.98
  6. Step 6: Final answer
    x = 5,277.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.