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Finding the Fourth Proportional to 3,905.96, 5,382.42 and 2,783.78

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Solution

The fourth proportional to 3,905.96, 5,382.42 and 2,783.78 is: 3,836.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,905.96 : 5,382.42 = 2,783.78 : x
  2. Step 2: Convert to fraction form
    3,905.96/5,382.42 = 2,783.78/x
  3. Step 3: Cross multiply
    3,905.96x = 5,382.42 × 2,783.78
  4. Step 4: Simplify right side
    3,905.96x = 14,983,473.15
  5. Step 5: Solve for x
    x = 14,983,473.15/3,905.96
  6. Step 6: Final answer
    x = 3,836.05

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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.