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Finding the Fourth Proportional to 5,704.60, 8,556.90 and 5,485.90

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Solution

The fourth proportional to 5,704.60, 8,556.90 and 5,485.90 is: 8,228.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,704.60 : 8,556.90 = 5,485.90 : x
  2. Step 2: Convert to fraction form
    5,704.60/8,556.90 = 5,485.90/x
  3. Step 3: Cross multiply
    5,704.60x = 8,556.90 × 5,485.90
  4. Step 4: Simplify right side
    5,704.60x = 46,942,297.71
  5. Step 5: Solve for x
    x = 46,942,297.71/5,704.60
  6. Step 6: Final answer
    x = 8,228.85

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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.