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Finding the Fourth Proportional to 5,942.25, 8,913.86 and 1,838.25

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Solution

The fourth proportional to 5,942.25, 8,913.86 and 1,838.25 is: 2,757.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,942.25 : 8,913.86 = 1,838.25 : x
  2. Step 2: Convert to fraction form
    5,942.25/8,913.86 = 1,838.25/x
  3. Step 3: Cross multiply
    5,942.25x = 8,913.86 × 1,838.25
  4. Step 4: Simplify right side
    5,942.25x = 16,385,893.95
  5. Step 5: Solve for x
    x = 16,385,893.95/5,942.25
  6. Step 6: Final answer
    x = 2,757.52

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Why These Related Problems?

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