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Finding the Fourth Proportional to 5,793.20, 8,690.46 and 1,897.64

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Solution

The fourth proportional to 5,793.20, 8,690.46 and 1,897.64 is: 2,846.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,793.20 : 8,690.46 = 1,897.64 : x
  2. Step 2: Convert to fraction form
    5,793.20/8,690.46 = 1,897.64/x
  3. Step 3: Cross multiply
    5,793.20x = 8,690.46 × 1,897.64
  4. Step 4: Simplify right side
    5,793.20x = 16,491,364.51
  5. Step 5: Solve for x
    x = 16,491,364.51/5,793.20
  6. Step 6: Final answer
    x = 2,846.68

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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.