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Finding the Fourth Proportional to 5,121.50, 7,682.43 and 2,929.22

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Solution

The fourth proportional to 5,121.50, 7,682.43 and 2,929.22 is: 4,393.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,121.50 : 7,682.43 = 2,929.22 : x
  2. Step 2: Convert to fraction form
    5,121.50/7,682.43 = 2,929.22/x
  3. Step 3: Cross multiply
    5,121.50x = 7,682.43 × 2,929.22
  4. Step 4: Simplify right side
    5,121.50x = 22,503,527.60
  5. Step 5: Solve for x
    x = 22,503,527.60/5,121.50
  6. Step 6: Final answer
    x = 4,393.93

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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.