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Finding the Fourth Proportional to 5,361.58, 8,042.32 and 1,465.98

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Solution

The fourth proportional to 5,361.58, 8,042.32 and 1,465.98 is: 2,198.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,361.58 : 8,042.32 = 1,465.98 : x
  2. Step 2: Convert to fraction form
    5,361.58/8,042.32 = 1,465.98/x
  3. Step 3: Cross multiply
    5,361.58x = 8,042.32 × 1,465.98
  4. Step 4: Simplify right side
    5,361.58x = 11,789,880.27
  5. Step 5: Solve for x
    x = 11,789,880.27/5,361.58
  6. Step 6: Final answer
    x = 2,198.96

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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.