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Finding the Fourth Proportional to 5,136.41, 7,706.06 and 1,673.93

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Solution

The fourth proportional to 5,136.41, 7,706.06 and 1,673.93 is: 2,511.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,136.41 : 7,706.06 = 1,673.93 : x
  2. Step 2: Convert to fraction form
    5,136.41/7,706.06 = 1,673.93/x
  3. Step 3: Cross multiply
    5,136.41x = 7,706.06 × 1,673.93
  4. Step 4: Simplify right side
    5,136.41x = 12,899,405.02
  5. Step 5: Solve for x
    x = 12,899,405.02/5,136.41
  6. Step 6: Final answer
    x = 2,511.37

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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.