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Finding the Fourth Proportional to 5,793.46, 8,691.54 and 1,897.63

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Solution

The fourth proportional to 5,793.46, 8,691.54 and 1,897.63 is: 2,846.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,793.46 : 8,691.54 = 1,897.63 : x
  2. Step 2: Convert to fraction form
    5,793.46/8,691.54 = 1,897.63/x
  3. Step 3: Cross multiply
    5,793.46x = 8,691.54 × 1,897.63
  4. Step 4: Simplify right side
    5,793.46x = 16,493,327.05
  5. Step 5: Solve for x
    x = 16,493,327.05/5,793.46
  6. Step 6: Final answer
    x = 2,846.89

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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.