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Finding the Fourth Proportional to 5,600.90, 7,729.11 and 3,082.94

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Solution

The fourth proportional to 5,600.90, 7,729.11 and 3,082.94 is: 4,254.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,600.90 : 7,729.11 = 3,082.94 : x
  2. Step 2: Convert to fraction form
    5,600.90/7,729.11 = 3,082.94/x
  3. Step 3: Cross multiply
    5,600.90x = 7,729.11 × 3,082.94
  4. Step 4: Simplify right side
    5,600.90x = 23,828,382.38
  5. Step 5: Solve for x
    x = 23,828,382.38/5,600.90
  6. Step 6: Final answer
    x = 4,254.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.