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Finding the Fourth Proportional to 3,771.96, 5,203.44 and 2,278.86

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Solution

The fourth proportional to 3,771.96, 5,203.44 and 2,278.86 is: 3,143.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.96 : 5,203.44 = 2,278.86 : x
  2. Step 2: Convert to fraction form
    3,771.96/5,203.44 = 2,278.86/x
  3. Step 3: Cross multiply
    3,771.96x = 5,203.44 × 2,278.86
  4. Step 4: Simplify right side
    3,771.96x = 11,857,911.28
  5. Step 5: Solve for x
    x = 11,857,911.28/3,771.96
  6. Step 6: Final answer
    x = 3,143.70

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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.