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Finding the Fourth Proportional to 4,096.77, 6,144.08 and 1,174.39

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Solution

The fourth proportional to 4,096.77, 6,144.08 and 1,174.39 is: 1,761.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,096.77 : 6,144.08 = 1,174.39 : x
  2. Step 2: Convert to fraction form
    4,096.77/6,144.08 = 1,174.39/x
  3. Step 3: Cross multiply
    4,096.77x = 6,144.08 × 1,174.39
  4. Step 4: Simplify right side
    4,096.77x = 7,215,546.11
  5. Step 5: Solve for x
    x = 7,215,546.11/4,096.77
  6. Step 6: Final answer
    x = 1,761.28

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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.