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Finding the Fourth Proportional to 5,830.40, 8,745.60 and 5,198.60

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Solution

The fourth proportional to 5,830.40, 8,745.60 and 5,198.60 is: 7,797.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,830.40 : 8,745.60 = 5,198.60 : x
  2. Step 2: Convert to fraction form
    5,830.40/8,745.60 = 5,198.60/x
  3. Step 3: Cross multiply
    5,830.40x = 8,745.60 × 5,198.60
  4. Step 4: Simplify right side
    5,830.40x = 45,464,876.16
  5. Step 5: Solve for x
    x = 45,464,876.16/5,830.40
  6. Step 6: Final answer
    x = 7,797.90

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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.