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Finding the Fourth Proportional to 3,568.22, 4,924.16 and 1,996.31

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Solution

The fourth proportional to 3,568.22, 4,924.16 and 1,996.31 is: 2,754.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,568.22 : 4,924.16 = 1,996.31 : x
  2. Step 2: Convert to fraction form
    3,568.22/4,924.16 = 1,996.31/x
  3. Step 3: Cross multiply
    3,568.22x = 4,924.16 × 1,996.31
  4. Step 4: Simplify right side
    3,568.22x = 9,830,159.66
  5. Step 5: Solve for x
    x = 9,830,159.66/3,568.22
  6. Step 6: Final answer
    x = 2,754.92

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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.