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Finding the Fourth Proportional to 4,822.34, 7,233.14 and 1,900.68

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Solution

The fourth proportional to 4,822.34, 7,233.14 and 1,900.68 is: 2,850.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,822.34 : 7,233.14 = 1,900.68 : x
  2. Step 2: Convert to fraction form
    4,822.34/7,233.14 = 1,900.68/x
  3. Step 3: Cross multiply
    4,822.34x = 7,233.14 × 1,900.68
  4. Step 4: Simplify right side
    4,822.34x = 13,747,884.54
  5. Step 5: Solve for x
    x = 13,747,884.54/4,822.34
  6. Step 6: Final answer
    x = 2,850.87

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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.