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Finding the Fourth Proportional to 4,816.34, 7,212 and 4,127.42

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Solution

The fourth proportional to 4,816.34, 7,212 and 4,127.42 is: 6,180.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,816.34 : 7,212 = 4,127.42 : x
  2. Step 2: Convert to fraction form
    4,816.34/7,212 = 4,127.42/x
  3. Step 3: Cross multiply
    4,816.34x = 7,212 × 4,127.42
  4. Step 4: Simplify right side
    4,816.34x = 29,766,953.04
  5. Step 5: Solve for x
    x = 29,766,953.04/4,816.34
  6. Step 6: Final answer
    x = 6,180.41

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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.