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Finding the Fourth Proportional to 5,124.67, 7,071.60 and 2,855.95

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Solution

The fourth proportional to 5,124.67, 7,071.60 and 2,855.95 is: 3,940.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,124.67 : 7,071.60 = 2,855.95 : x
  2. Step 2: Convert to fraction form
    5,124.67/7,071.60 = 2,855.95/x
  3. Step 3: Cross multiply
    5,124.67x = 7,071.60 × 2,855.95
  4. Step 4: Simplify right side
    5,124.67x = 20,196,136.02
  5. Step 5: Solve for x
    x = 20,196,136.02/5,124.67
  6. Step 6: Final answer
    x = 3,940.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.