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Finding the Fourth Proportional to 5,122.46, 7,683.84 and 1,424.96

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Solution

The fourth proportional to 5,122.46, 7,683.84 and 1,424.96 is: 2,137.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,122.46 : 7,683.84 = 1,424.96 : x
  2. Step 2: Convert to fraction form
    5,122.46/7,683.84 = 1,424.96/x
  3. Step 3: Cross multiply
    5,122.46x = 7,683.84 × 1,424.96
  4. Step 4: Simplify right side
    5,122.46x = 10,949,164.65
  5. Step 5: Solve for x
    x = 10,949,164.65/5,122.46
  6. Step 6: Final answer
    x = 2,137.48

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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.