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Finding the Fourth Proportional to 5,600.43, 7,728.77 and 3,082.66

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Solution

The fourth proportional to 5,600.43, 7,728.77 and 3,082.66 is: 4,254.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,600.43 : 7,728.77 = 3,082.66 : x
  2. Step 2: Convert to fraction form
    5,600.43/7,728.77 = 3,082.66/x
  3. Step 3: Cross multiply
    5,600.43x = 7,728.77 × 3,082.66
  4. Step 4: Simplify right side
    5,600.43x = 23,825,158.51
  5. Step 5: Solve for x
    x = 23,825,158.51/5,600.43
  6. Step 6: Final answer
    x = 4,254.17

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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.