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Finding the Fourth Proportional to 5,830.28, 8,745.57 and 1,447.67

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Solution

The fourth proportional to 5,830.28, 8,745.57 and 1,447.67 is: 2,171.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,830.28 : 8,745.57 = 1,447.67 : x
  2. Step 2: Convert to fraction form
    5,830.28/8,745.57 = 1,447.67/x
  3. Step 3: Cross multiply
    5,830.28x = 8,745.57 × 1,447.67
  4. Step 4: Simplify right side
    5,830.28x = 12,660,699.32
  5. Step 5: Solve for x
    x = 12,660,699.32/5,830.28
  6. Step 6: Final answer
    x = 2,171.54

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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.