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Finding the Fourth Proportional to 5,600.64, 7,729.36 and 3,083.24

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Solution

The fourth proportional to 5,600.64, 7,729.36 and 3,083.24 is: 4,255.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,600.64 : 7,729.36 = 3,083.24 : x
  2. Step 2: Convert to fraction form
    5,600.64/7,729.36 = 3,083.24/x
  3. Step 3: Cross multiply
    5,600.64x = 7,729.36 × 3,083.24
  4. Step 4: Simplify right side
    5,600.64x = 23,831,471.93
  5. Step 5: Solve for x
    x = 23,831,471.93/5,600.64
  6. Step 6: Final answer
    x = 4,255.13

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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.