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Finding the Fourth Proportional to 4,100.54, 5,659.16 and 2,422.49

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Solution

The fourth proportional to 4,100.54, 5,659.16 and 2,422.49 is: 3,343.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,100.54 : 5,659.16 = 2,422.49 : x
  2. Step 2: Convert to fraction form
    4,100.54/5,659.16 = 2,422.49/x
  3. Step 3: Cross multiply
    4,100.54x = 5,659.16 × 2,422.49
  4. Step 4: Simplify right side
    4,100.54x = 13,709,218.10
  5. Step 5: Solve for x
    x = 13,709,218.10/4,100.54
  6. Step 6: Final answer
    x = 3,343.28

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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.