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Finding the Fourth Proportional to 3,790.71, 5,230.80 and 2,112.05

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Solution

The fourth proportional to 3,790.71, 5,230.80 and 2,112.05 is: 2,914.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,790.71 : 5,230.80 = 2,112.05 : x
  2. Step 2: Convert to fraction form
    3,790.71/5,230.80 = 2,112.05/x
  3. Step 3: Cross multiply
    3,790.71x = 5,230.80 × 2,112.05
  4. Step 4: Simplify right side
    3,790.71x = 11,047,711.14
  5. Step 5: Solve for x
    x = 11,047,711.14/3,790.71
  6. Step 6: Final answer
    x = 2,914.42

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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.