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Finding the Fourth Proportional to 5,811.84, 8,020.31 and 3,294.44

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Solution

The fourth proportional to 5,811.84, 8,020.31 and 3,294.44 is: 4,546.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,811.84 : 8,020.31 = 3,294.44 : x
  2. Step 2: Convert to fraction form
    5,811.84/8,020.31 = 3,294.44/x
  3. Step 3: Cross multiply
    5,811.84x = 8,020.31 × 3,294.44
  4. Step 4: Simplify right side
    5,811.84x = 26,422,373.50
  5. Step 5: Solve for x
    x = 26,422,373.50/5,811.84
  6. Step 6: Final answer
    x = 4,546.30

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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.