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Finding the Fourth Proportional to 3,769.60, 5,203 and 2,512.74

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Solution

The fourth proportional to 3,769.60, 5,203 and 2,512.74 is: 3,468.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.60 : 5,203 = 2,512.74 : x
  2. Step 2: Convert to fraction form
    3,769.60/5,203 = 2,512.74/x
  3. Step 3: Cross multiply
    3,769.60x = 5,203 × 2,512.74
  4. Step 4: Simplify right side
    3,769.60x = 13,073,786.22
  5. Step 5: Solve for x
    x = 13,073,786.22/3,769.60
  6. Step 6: Final answer
    x = 3,468.22

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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.