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Finding the Fourth Proportional to 5,465.96, 8,199.02 and 1,361.96

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Solution

The fourth proportional to 5,465.96, 8,199.02 and 1,361.96 is: 2,042.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,465.96 : 8,199.02 = 1,361.96 : x
  2. Step 2: Convert to fraction form
    5,465.96/8,199.02 = 1,361.96/x
  3. Step 3: Cross multiply
    5,465.96x = 8,199.02 × 1,361.96
  4. Step 4: Simplify right side
    5,465.96x = 11,166,737.28
  5. Step 5: Solve for x
    x = 11,166,737.28/5,465.96
  6. Step 6: Final answer
    x = 2,042.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.