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Finding the Fourth Proportional to 4,185.02, 5,775.31 and 2,322.02

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Solution

The fourth proportional to 4,185.02, 5,775.31 and 2,322.02 is: 3,204.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,185.02 : 5,775.31 = 2,322.02 : x
  2. Step 2: Convert to fraction form
    4,185.02/5,775.31 = 2,322.02/x
  3. Step 3: Cross multiply
    4,185.02x = 5,775.31 × 2,322.02
  4. Step 4: Simplify right side
    4,185.02x = 13,410,385.33
  5. Step 5: Solve for x
    x = 13,410,385.33/4,185.02
  6. Step 6: Final answer
    x = 3,204.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.