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Finding the Fourth Proportional to 5,122.80, 7,683.75 and 1,424.79

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Solution

The fourth proportional to 5,122.80, 7,683.75 and 1,424.79 is: 2,137.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,122.80 : 7,683.75 = 1,424.79 : x
  2. Step 2: Convert to fraction form
    5,122.80/7,683.75 = 1,424.79/x
  3. Step 3: Cross multiply
    5,122.80x = 7,683.75 × 1,424.79
  4. Step 4: Simplify right side
    5,122.80x = 10,947,730.16
  5. Step 5: Solve for x
    x = 10,947,730.16/5,122.80
  6. Step 6: Final answer
    x = 2,137.06

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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.