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Finding the Fourth Proportional to 5,136.44, 7,695.40 and 2,365.44

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Solution

The fourth proportional to 5,136.44, 7,695.40 and 2,365.44 is: 3,543.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,136.44 : 7,695.40 = 2,365.44 : x
  2. Step 2: Convert to fraction form
    5,136.44/7,695.40 = 2,365.44/x
  3. Step 3: Cross multiply
    5,136.44x = 7,695.40 × 2,365.44
  4. Step 4: Simplify right side
    5,136.44x = 18,203,006.98
  5. Step 5: Solve for x
    x = 18,203,006.98/5,136.44
  6. Step 6: Final answer
    x = 3,543.90

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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.