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Finding the Fourth Proportional to 3,446.36, 5,167.74 and 1,798.88

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Solution

The fourth proportional to 3,446.36, 5,167.74 and 1,798.88 is: 2,697.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.36 : 5,167.74 = 1,798.88 : x
  2. Step 2: Convert to fraction form
    3,446.36/5,167.74 = 1,798.88/x
  3. Step 3: Cross multiply
    3,446.36x = 5,167.74 × 1,798.88
  4. Step 4: Simplify right side
    3,446.36x = 9,296,144.13
  5. Step 5: Solve for x
    x = 9,296,144.13/3,446.36
  6. Step 6: Final answer
    x = 2,697.38

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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.