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Finding the Fourth Proportional to 5,600.42, 7,728.68 and 3,082.51

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Solution

The fourth proportional to 5,600.42, 7,728.68 and 3,082.51 is: 4,253.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,600.42 : 7,728.68 = 3,082.51 : x
  2. Step 2: Convert to fraction form
    5,600.42/7,728.68 = 3,082.51/x
  3. Step 3: Cross multiply
    5,600.42x = 7,728.68 × 3,082.51
  4. Step 4: Simplify right side
    5,600.42x = 23,823,679.33
  5. Step 5: Solve for x
    x = 23,823,679.33/5,600.42
  6. Step 6: Final answer
    x = 4,253.91

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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.