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Finding the Fourth Proportional to 5,033.76, 7,550.10 and 3,082.56

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Solution

The fourth proportional to 5,033.76, 7,550.10 and 3,082.56 is: 4,623.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,033.76 : 7,550.10 = 3,082.56 : x
  2. Step 2: Convert to fraction form
    5,033.76/7,550.10 = 3,082.56/x
  3. Step 3: Cross multiply
    5,033.76x = 7,550.10 × 3,082.56
  4. Step 4: Simplify right side
    5,033.76x = 23,273,636.26
  5. Step 5: Solve for x
    x = 23,273,636.26/5,033.76
  6. Step 6: Final answer
    x = 4,623.51

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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.