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Finding the Fourth Proportional to 3,711.63, 5,563.41 and 1,858.27

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Solution

The fourth proportional to 3,711.63, 5,563.41 and 1,858.27 is: 2,785.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,711.63 : 5,563.41 = 1,858.27 : x
  2. Step 2: Convert to fraction form
    3,711.63/5,563.41 = 1,858.27/x
  3. Step 3: Cross multiply
    3,711.63x = 5,563.41 × 1,858.27
  4. Step 4: Simplify right side
    3,711.63x = 10,338,331.82
  5. Step 5: Solve for x
    x = 10,338,331.82/3,711.63
  6. Step 6: Final answer
    x = 2,785.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.