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Finding the Fourth Proportional to 5,153.85, 7,732.80 and 3,074.85

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Solution

The fourth proportional to 5,153.85, 7,732.80 and 3,074.85 is: 4,613.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,153.85 : 7,732.80 = 3,074.85 : x
  2. Step 2: Convert to fraction form
    5,153.85/7,732.80 = 3,074.85/x
  3. Step 3: Cross multiply
    5,153.85x = 7,732.80 × 3,074.85
  4. Step 4: Simplify right side
    5,153.85x = 23,777,200.08
  5. Step 5: Solve for x
    x = 23,777,200.08/5,153.85
  6. Step 6: Final answer
    x = 4,613.48

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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.