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Finding the Fourth Proportional to 5,930.94, 8,893.53 and 1,825.98

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Solution

The fourth proportional to 5,930.94, 8,893.53 and 1,825.98 is: 2,738.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,930.94 : 8,893.53 = 1,825.98 : x
  2. Step 2: Convert to fraction form
    5,930.94/8,893.53 = 1,825.98/x
  3. Step 3: Cross multiply
    5,930.94x = 8,893.53 × 1,825.98
  4. Step 4: Simplify right side
    5,930.94x = 16,239,407.91
  5. Step 5: Solve for x
    x = 16,239,407.91/5,930.94
  6. Step 6: Final answer
    x = 2,738.08

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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.