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Finding the Fourth Proportional to 5,082.94, 7,625.31 and 1,797.94

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Solution

The fourth proportional to 5,082.94, 7,625.31 and 1,797.94 is: 2,697.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,082.94 : 7,625.31 = 1,797.94 : x
  2. Step 2: Convert to fraction form
    5,082.94/7,625.31 = 1,797.94/x
  3. Step 3: Cross multiply
    5,082.94x = 7,625.31 × 1,797.94
  4. Step 4: Simplify right side
    5,082.94x = 13,709,849.86
  5. Step 5: Solve for x
    x = 13,709,849.86/5,082.94
  6. Step 6: Final answer
    x = 2,697.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.