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Finding the Fourth Proportional to 5,462.85, 8,179.70 and 4,806.75

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Solution

The fourth proportional to 5,462.85, 8,179.70 and 4,806.75 is: 7,197.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,462.85 : 8,179.70 = 4,806.75 : x
  2. Step 2: Convert to fraction form
    5,462.85/8,179.70 = 4,806.75/x
  3. Step 3: Cross multiply
    5,462.85x = 8,179.70 × 4,806.75
  4. Step 4: Simplify right side
    5,462.85x = 39,317,748.94
  5. Step 5: Solve for x
    x = 39,317,748.94/5,462.85
  6. Step 6: Final answer
    x = 7,197.30

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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.