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Finding the Fourth Proportional to 5,082.52, 7,613.94 and 2,884.60

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Solution

The fourth proportional to 5,082.52, 7,613.94 and 2,884.60 is: 4,321.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,082.52 : 7,613.94 = 2,884.60 : x
  2. Step 2: Convert to fraction form
    5,082.52/7,613.94 = 2,884.60/x
  3. Step 3: Cross multiply
    5,082.52x = 7,613.94 × 2,884.60
  4. Step 4: Simplify right side
    5,082.52x = 21,963,171.32
  5. Step 5: Solve for x
    x = 21,963,171.32/5,082.52
  6. Step 6: Final answer
    x = 4,321.32

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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.