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Finding the Fourth Proportional to 3,769.93, 5,203.11 and 2,278.05

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Solution

The fourth proportional to 3,769.93, 5,203.11 and 2,278.05 is: 3,144.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.93 : 5,203.11 = 2,278.05 : x
  2. Step 2: Convert to fraction form
    3,769.93/5,203.11 = 2,278.05/x
  3. Step 3: Cross multiply
    3,769.93x = 5,203.11 × 2,278.05
  4. Step 4: Simplify right side
    3,769.93x = 11,852,944.74
  5. Step 5: Solve for x
    x = 11,852,944.74/3,769.93
  6. Step 6: Final answer
    x = 3,144.08

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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.