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Finding the Fourth Proportional to 5,600.71, 7,729.39 and 3,082.92

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Solution

The fourth proportional to 5,600.71, 7,729.39 and 3,082.92 is: 4,254.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,600.71 : 7,729.39 = 3,082.92 : x
  2. Step 2: Convert to fraction form
    5,600.71/7,729.39 = 3,082.92/x
  3. Step 3: Cross multiply
    5,600.71x = 7,729.39 × 3,082.92
  4. Step 4: Simplify right side
    5,600.71x = 23,829,091.02
  5. Step 5: Solve for x
    x = 23,829,091.02/5,600.71
  6. Step 6: Final answer
    x = 4,254.66

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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.