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Finding the Fourth Proportional to 5,096.05, 7,644.08 and 1,809.14

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Solution

The fourth proportional to 5,096.05, 7,644.08 and 1,809.14 is: 2,713.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,096.05 : 7,644.08 = 1,809.14 : x
  2. Step 2: Convert to fraction form
    5,096.05/7,644.08 = 1,809.14/x
  3. Step 3: Cross multiply
    5,096.05x = 7,644.08 × 1,809.14
  4. Step 4: Simplify right side
    5,096.05x = 13,829,240.85
  5. Step 5: Solve for x
    x = 13,829,240.85/5,096.05
  6. Step 6: Final answer
    x = 2,713.72

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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.