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Finding the Fourth Proportional to 5,442.66, 8,157.78 and 2,514.78

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Solution

The fourth proportional to 5,442.66, 8,157.78 and 2,514.78 is: 3,769.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,442.66 : 8,157.78 = 2,514.78 : x
  2. Step 2: Convert to fraction form
    5,442.66/8,157.78 = 2,514.78/x
  3. Step 3: Cross multiply
    5,442.66x = 8,157.78 × 2,514.78
  4. Step 4: Simplify right side
    5,442.66x = 20,515,021.99
  5. Step 5: Solve for x
    x = 20,515,021.99/5,442.66
  6. Step 6: Final answer
    x = 3,769.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.