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Finding the Fourth Proportional to 5,601, 7,729.56 and 3,082.98

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Solution

The fourth proportional to 5,601, 7,729.56 and 3,082.98 is: 4,254.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,601 : 7,729.56 = 3,082.98 : x
  2. Step 2: Convert to fraction form
    5,601/7,729.56 = 3,082.98/x
  3. Step 3: Cross multiply
    5,601x = 7,729.56 × 3,082.98
  4. Step 4: Simplify right side
    5,601x = 23,830,078.89
  5. Step 5: Solve for x
    x = 23,830,078.89/5,601
  6. Step 6: Final answer
    x = 4,254.61

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