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Finding the Fourth Proportional to 5,136.94, 7,705.74 and 1,627.08

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Solution

The fourth proportional to 5,136.94, 7,705.74 and 1,627.08 is: 2,440.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,136.94 : 7,705.74 = 1,627.08 : x
  2. Step 2: Convert to fraction form
    5,136.94/7,705.74 = 1,627.08/x
  3. Step 3: Cross multiply
    5,136.94x = 7,705.74 × 1,627.08
  4. Step 4: Simplify right side
    5,136.94x = 12,537,855.44
  5. Step 5: Solve for x
    x = 12,537,855.44/5,136.94
  6. Step 6: Final answer
    x = 2,440.72

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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.