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Finding the Fourth Proportional to 5,765.57, 8,647.95 and 3,292.64

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Solution

The fourth proportional to 5,765.57, 8,647.95 and 3,292.64 is: 4,938.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.57 : 8,647.95 = 3,292.64 : x
  2. Step 2: Convert to fraction form
    5,765.57/8,647.95 = 3,292.64/x
  3. Step 3: Cross multiply
    5,765.57x = 8,647.95 × 3,292.64
  4. Step 4: Simplify right side
    5,765.57x = 28,474,586.09
  5. Step 5: Solve for x
    x = 28,474,586.09/5,765.57
  6. Step 6: Final answer
    x = 4,938.73

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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.