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Finding the Fourth Proportional to 5,647.85, 7,793.30 and 3,129.84

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Solution

The fourth proportional to 5,647.85, 7,793.30 and 3,129.84 is: 4,318.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,647.85 : 7,793.30 = 3,129.84 : x
  2. Step 2: Convert to fraction form
    5,647.85/7,793.30 = 3,129.84/x
  3. Step 3: Cross multiply
    5,647.85x = 7,793.30 × 3,129.84
  4. Step 4: Simplify right side
    5,647.85x = 24,391,793.73
  5. Step 5: Solve for x
    x = 24,391,793.73/5,647.85
  6. Step 6: Final answer
    x = 4,318.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.