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Finding the Fourth Proportional to 3,476.45, 5,214.13 and 1,136.44

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Solution

The fourth proportional to 3,476.45, 5,214.13 and 1,136.44 is: 1,704.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476.45 : 5,214.13 = 1,136.44 : x
  2. Step 2: Convert to fraction form
    3,476.45/5,214.13 = 1,136.44/x
  3. Step 3: Cross multiply
    3,476.45x = 5,214.13 × 1,136.44
  4. Step 4: Simplify right side
    3,476.45x = 5,925,519.83
  5. Step 5: Solve for x
    x = 5,925,519.83/3,476.45
  6. Step 6: Final answer
    x = 1,704.47

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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.