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Finding the Fourth Proportional to 5,136.36, 7,705.02 and 2,363.81

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Solution

The fourth proportional to 5,136.36, 7,705.02 and 2,363.81 is: 3,545.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,136.36 : 7,705.02 = 2,363.81 : x
  2. Step 2: Convert to fraction form
    5,136.36/7,705.02 = 2,363.81/x
  3. Step 3: Cross multiply
    5,136.36x = 7,705.02 × 2,363.81
  4. Step 4: Simplify right side
    5,136.36x = 18,213,164.80
  5. Step 5: Solve for x
    x = 18,213,164.80/5,136.36
  6. Step 6: Final answer
    x = 3,545.93

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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.