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Finding the Fourth Proportional to 3,822.63, 5,733.89 and 2,322

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Solution

The fourth proportional to 3,822.63, 5,733.89 and 2,322 is: 3,482.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,822.63 : 5,733.89 = 2,322 : x
  2. Step 2: Convert to fraction form
    3,822.63/5,733.89 = 2,322/x
  3. Step 3: Cross multiply
    3,822.63x = 5,733.89 × 2,322
  4. Step 4: Simplify right side
    3,822.63x = 13,314,089.68
  5. Step 5: Solve for x
    x = 13,314,089.68/3,822.63
  6. Step 6: Final answer
    x = 3,482.97

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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.