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Finding the Fourth Proportional to 5,797.96, 8,002.02 and 3,811.48

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Solution

The fourth proportional to 5,797.96, 8,002.02 and 3,811.48 is: 5,260.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797.96 : 8,002.02 = 3,811.48 : x
  2. Step 2: Convert to fraction form
    5,797.96/8,002.02 = 3,811.48/x
  3. Step 3: Cross multiply
    5,797.96x = 8,002.02 × 3,811.48
  4. Step 4: Simplify right side
    5,797.96x = 30,499,539.19
  5. Step 5: Solve for x
    x = 30,499,539.19/5,797.96
  6. Step 6: Final answer
    x = 5,260.39

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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.