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Finding the Fourth Proportional to 5,662.78, 8,493.99 and 1,766.14

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Solution

The fourth proportional to 5,662.78, 8,493.99 and 1,766.14 is: 2,649.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,662.78 : 8,493.99 = 1,766.14 : x
  2. Step 2: Convert to fraction form
    5,662.78/8,493.99 = 1,766.14/x
  3. Step 3: Cross multiply
    5,662.78x = 8,493.99 × 1,766.14
  4. Step 4: Simplify right side
    5,662.78x = 15,001,575.50
  5. Step 5: Solve for x
    x = 15,001,575.50/5,662.78
  6. Step 6: Final answer
    x = 2,649.15

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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.