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Finding the Fourth Proportional to 5,205.67, 7,184.01 and 2,847.81

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Solution

The fourth proportional to 5,205.67, 7,184.01 and 2,847.81 is: 3,930.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.67 : 7,184.01 = 2,847.81 : x
  2. Step 2: Convert to fraction form
    5,205.67/7,184.01 = 2,847.81/x
  3. Step 3: Cross multiply
    5,205.67x = 7,184.01 × 2,847.81
  4. Step 4: Simplify right side
    5,205.67x = 20,458,717.12
  5. Step 5: Solve for x
    x = 20,458,717.12/5,205.67
  6. Step 6: Final answer
    x = 3,930.08

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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.