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Finding the Fourth Proportional to 5,846.68, 8,768.30 and 3,177.85

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Solution

The fourth proportional to 5,846.68, 8,768.30 and 3,177.85 is: 4,765.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,846.68 : 8,768.30 = 3,177.85 : x
  2. Step 2: Convert to fraction form
    5,846.68/8,768.30 = 3,177.85/x
  3. Step 3: Cross multiply
    5,846.68x = 8,768.30 × 3,177.85
  4. Step 4: Simplify right side
    5,846.68x = 27,864,342.16
  5. Step 5: Solve for x
    x = 27,864,342.16/5,846.68
  6. Step 6: Final answer
    x = 4,765.84

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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.