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Finding the Fourth Proportional to 5,793.84, 8,690.67 and 2,331

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Solution

The fourth proportional to 5,793.84, 8,690.67 and 2,331 is: 3,496.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,793.84 : 8,690.67 = 2,331 : x
  2. Step 2: Convert to fraction form
    5,793.84/8,690.67 = 2,331/x
  3. Step 3: Cross multiply
    5,793.84x = 8,690.67 × 2,331
  4. Step 4: Simplify right side
    5,793.84x = 20,257,951.77
  5. Step 5: Solve for x
    x = 20,257,951.77/5,793.84
  6. Step 6: Final answer
    x = 3,496.46

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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.