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Finding the Fourth Proportional to 5,338.83, 8,009.06 and 2,564.98

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Solution

The fourth proportional to 5,338.83, 8,009.06 and 2,564.98 is: 3,847.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,338.83 : 8,009.06 = 2,564.98 : x
  2. Step 2: Convert to fraction form
    5,338.83/8,009.06 = 2,564.98/x
  3. Step 3: Cross multiply
    5,338.83x = 8,009.06 × 2,564.98
  4. Step 4: Simplify right side
    5,338.83x = 20,543,078.72
  5. Step 5: Solve for x
    x = 20,543,078.72/5,338.83
  6. Step 6: Final answer
    x = 3,847.86

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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.