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Finding the Fourth Proportional to 5,205.08, 7,182.90 and 2,847.08

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Solution

The fourth proportional to 5,205.08, 7,182.90 and 2,847.08 is: 3,928.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.08 : 7,182.90 = 2,847.08 : x
  2. Step 2: Convert to fraction form
    5,205.08/7,182.90 = 2,847.08/x
  3. Step 3: Cross multiply
    5,205.08x = 7,182.90 × 2,847.08
  4. Step 4: Simplify right side
    5,205.08x = 20,450,290.93
  5. Step 5: Solve for x
    x = 20,450,290.93/5,205.08
  6. Step 6: Final answer
    x = 3,928.91

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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.