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Finding the Fourth Proportional to 5,122.50, 7,683.93 and 2,930.22

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Solution

The fourth proportional to 5,122.50, 7,683.93 and 2,930.22 is: 4,395.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,122.50 : 7,683.93 = 2,930.22 : x
  2. Step 2: Convert to fraction form
    5,122.50/7,683.93 = 2,930.22/x
  3. Step 3: Cross multiply
    5,122.50x = 7,683.93 × 2,930.22
  4. Step 4: Simplify right side
    5,122.50x = 22,515,605.36
  5. Step 5: Solve for x
    x = 22,515,605.36/5,122.50
  6. Step 6: Final answer
    x = 4,395.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.