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Finding the Fourth Proportional to 4,090.62, 5,645.13 and 2,322.18

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Solution

The fourth proportional to 4,090.62, 5,645.13 and 2,322.18 is: 3,204.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,090.62 : 5,645.13 = 2,322.18 : x
  2. Step 2: Convert to fraction form
    4,090.62/5,645.13 = 2,322.18/x
  3. Step 3: Cross multiply
    4,090.62x = 5,645.13 × 2,322.18
  4. Step 4: Simplify right side
    4,090.62x = 13,109,007.98
  5. Step 5: Solve for x
    x = 13,109,007.98/4,090.62
  6. Step 6: Final answer
    x = 3,204.65

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