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Finding the Fourth Proportional to 3,884.81, 5,822.58 and 2,237.94

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Solution

The fourth proportional to 3,884.81, 5,822.58 and 2,237.94 is: 3,354.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.81 : 5,822.58 = 2,237.94 : x
  2. Step 2: Convert to fraction form
    3,884.81/5,822.58 = 2,237.94/x
  3. Step 3: Cross multiply
    3,884.81x = 5,822.58 × 2,237.94
  4. Step 4: Simplify right side
    3,884.81x = 13,030,584.69
  5. Step 5: Solve for x
    x = 13,030,584.69/3,884.81
  6. Step 6: Final answer
    x = 3,354.24

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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.