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Finding the Fourth Proportional to 4,090.64, 5,645.10 and 2,322.27

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Solution

The fourth proportional to 4,090.64, 5,645.10 and 2,322.27 is: 3,204.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,090.64 : 5,645.10 = 2,322.27 : x
  2. Step 2: Convert to fraction form
    4,090.64/5,645.10 = 2,322.27/x
  3. Step 3: Cross multiply
    4,090.64x = 5,645.10 × 2,322.27
  4. Step 4: Simplify right side
    4,090.64x = 13,109,446.38
  5. Step 5: Solve for x
    x = 13,109,446.38/4,090.64
  6. Step 6: Final answer
    x = 3,204.75

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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.