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Finding the Fourth Proportional to 5,245.37, 7,865.70 and 1,546.30

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Solution

The fourth proportional to 5,245.37, 7,865.70 and 1,546.30 is: 2,318.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,245.37 : 7,865.70 = 1,546.30 : x
  2. Step 2: Convert to fraction form
    5,245.37/7,865.70 = 1,546.30/x
  3. Step 3: Cross multiply
    5,245.37x = 7,865.70 × 1,546.30
  4. Step 4: Simplify right side
    5,245.37x = 12,162,731.91
  5. Step 5: Solve for x
    x = 12,162,731.91/5,245.37
  6. Step 6: Final answer
    x = 2,318.76

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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.