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Finding the Fourth Proportional to 3,425.44, 5,136.24 and 1,476.64

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Solution

The fourth proportional to 3,425.44, 5,136.24 and 1,476.64 is: 2,214.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,425.44 : 5,136.24 = 1,476.64 : x
  2. Step 2: Convert to fraction form
    3,425.44/5,136.24 = 1,476.64/x
  3. Step 3: Cross multiply
    3,425.44x = 5,136.24 × 1,476.64
  4. Step 4: Simplify right side
    3,425.44x = 7,584,377.43
  5. Step 5: Solve for x
    x = 7,584,377.43/3,425.44
  6. Step 6: Final answer
    x = 2,214.13

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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.