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Finding the Fourth Proportional to 5,764.89, 8,647.62 and 2,806.05

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Solution

The fourth proportional to 5,764.89, 8,647.62 and 2,806.05 is: 4,209.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.89 : 8,647.62 = 2,806.05 : x
  2. Step 2: Convert to fraction form
    5,764.89/8,647.62 = 2,806.05/x
  3. Step 3: Cross multiply
    5,764.89x = 8,647.62 × 2,806.05
  4. Step 4: Simplify right side
    5,764.89x = 24,265,654.10
  5. Step 5: Solve for x
    x = 24,265,654.10/5,764.89
  6. Step 6: Final answer
    x = 4,209.21

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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.