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Finding the Fourth Proportional to 5,766.78, 8,636.28 and 3,294.10

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Solution

The fourth proportional to 5,766.78, 8,636.28 and 3,294.10 is: 4,933.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,766.78 : 8,636.28 = 3,294.10 : x
  2. Step 2: Convert to fraction form
    5,766.78/8,636.28 = 3,294.10/x
  3. Step 3: Cross multiply
    5,766.78x = 8,636.28 × 3,294.10
  4. Step 4: Simplify right side
    5,766.78x = 28,448,769.95
  5. Step 5: Solve for x
    x = 28,448,769.95/5,766.78
  6. Step 6: Final answer
    x = 4,933.22

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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.