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Finding the Fourth Proportional to 4,096.55, 6,144.84 and 1,175.09

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Solution

The fourth proportional to 4,096.55, 6,144.84 and 1,175.09 is: 1,762.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,096.55 : 6,144.84 = 1,175.09 : x
  2. Step 2: Convert to fraction form
    4,096.55/6,144.84 = 1,175.09/x
  3. Step 3: Cross multiply
    4,096.55x = 6,144.84 × 1,175.09
  4. Step 4: Simplify right side
    4,096.55x = 7,220,709.31
  5. Step 5: Solve for x
    x = 7,220,709.31/4,096.55
  6. Step 6: Final answer
    x = 1,762.63

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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.