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Finding the Fourth Proportional to 5,694.08, 8,542.08 and 1,996.16

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Solution

The fourth proportional to 5,694.08, 8,542.08 and 1,996.16 is: 2,994.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,694.08 : 8,542.08 = 1,996.16 : x
  2. Step 2: Convert to fraction form
    5,694.08/8,542.08 = 1,996.16/x
  3. Step 3: Cross multiply
    5,694.08x = 8,542.08 × 1,996.16
  4. Step 4: Simplify right side
    5,694.08x = 17,051,358.41
  5. Step 5: Solve for x
    x = 17,051,358.41/5,694.08
  6. Step 6: Final answer
    x = 2,994.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.