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Finding the Fourth Proportional to 3,870.72, 5,805.34 and 1,096.73

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Solution

The fourth proportional to 3,870.72, 5,805.34 and 1,096.73 is: 1,644.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.72 : 5,805.34 = 1,096.73 : x
  2. Step 2: Convert to fraction form
    3,870.72/5,805.34 = 1,096.73/x
  3. Step 3: Cross multiply
    3,870.72x = 5,805.34 × 1,096.73
  4. Step 4: Simplify right side
    3,870.72x = 6,366,861.51
  5. Step 5: Solve for x
    x = 6,366,861.51/3,870.72
  6. Step 6: Final answer
    x = 1,644.88

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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.