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Finding the Fourth Proportional to 5,563.68, 8,346.48 and 1,866.27

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Solution

The fourth proportional to 5,563.68, 8,346.48 and 1,866.27 is: 2,799.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,563.68 : 8,346.48 = 1,866.27 : x
  2. Step 2: Convert to fraction form
    5,563.68/8,346.48 = 1,866.27/x
  3. Step 3: Cross multiply
    5,563.68x = 8,346.48 × 1,866.27
  4. Step 4: Simplify right side
    5,563.68x = 15,576,785.23
  5. Step 5: Solve for x
    x = 15,576,785.23/5,563.68
  6. Step 6: Final answer
    x = 2,799.73

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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.