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Finding the Fourth Proportional to 5,122.96, 7,683.54 and 1,424.20

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Solution

The fourth proportional to 5,122.96, 7,683.54 and 1,424.20 is: 2,136.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,122.96 : 7,683.54 = 1,424.20 : x
  2. Step 2: Convert to fraction form
    5,122.96/7,683.54 = 1,424.20/x
  3. Step 3: Cross multiply
    5,122.96x = 7,683.54 × 1,424.20
  4. Step 4: Simplify right side
    5,122.96x = 10,942,897.67
  5. Step 5: Solve for x
    x = 10,942,897.67/5,122.96
  6. Step 6: Final answer
    x = 2,136.05

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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.