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Finding the Fourth Proportional to 3,770.59, 5,201.99 and 2,778.24

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Solution

The fourth proportional to 3,770.59, 5,201.99 and 2,778.24 is: 3,832.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.59 : 5,201.99 = 2,778.24 : x
  2. Step 2: Convert to fraction form
    3,770.59/5,201.99 = 2,778.24/x
  3. Step 3: Cross multiply
    3,770.59x = 5,201.99 × 2,778.24
  4. Step 4: Simplify right side
    3,770.59x = 14,452,383.64
  5. Step 5: Solve for x
    x = 14,452,383.64/3,770.59
  6. Step 6: Final answer
    x = 3,832.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.