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Finding the Fourth Proportional to 5,600.96, 7,729.48 and 3,083.20

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Solution

The fourth proportional to 5,600.96, 7,729.48 and 3,083.20 is: 4,254.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,600.96 : 7,729.48 = 3,083.20 : x
  2. Step 2: Convert to fraction form
    5,600.96/7,729.48 = 3,083.20/x
  3. Step 3: Cross multiply
    5,600.96x = 7,729.48 × 3,083.20
  4. Step 4: Simplify right side
    5,600.96x = 23,831,532.74
  5. Step 5: Solve for x
    x = 23,831,532.74/5,600.96
  6. Step 6: Final answer
    x = 4,254.90

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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.