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Finding the Fourth Proportional to 5,122.44, 7,683.71 and 1,424.94

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Solution

The fourth proportional to 5,122.44, 7,683.71 and 1,424.94 is: 2,137.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,122.44 : 7,683.71 = 1,424.94 : x
  2. Step 2: Convert to fraction form
    5,122.44/7,683.71 = 1,424.94/x
  3. Step 3: Cross multiply
    5,122.44x = 7,683.71 × 1,424.94
  4. Step 4: Simplify right side
    5,122.44x = 10,948,841.02
  5. Step 5: Solve for x
    x = 10,948,841.02/5,122.44
  6. Step 6: Final answer
    x = 2,137.43

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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.