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Finding the Fourth Proportional to 3,404.56, 5,106.72 and 1,096

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Solution

The fourth proportional to 3,404.56, 5,106.72 and 1,096 is: 1,643.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.56 : 5,106.72 = 1,096 : x
  2. Step 2: Convert to fraction form
    3,404.56/5,106.72 = 1,096/x
  3. Step 3: Cross multiply
    3,404.56x = 5,106.72 × 1,096
  4. Step 4: Simplify right side
    3,404.56x = 5,596,965.12
  5. Step 5: Solve for x
    x = 5,596,965.12/3,404.56
  6. Step 6: Final answer
    x = 1,643.96

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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.