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Finding the Fourth Proportional to 3,488.16, 4,814.54 and 1,996.54

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Solution

The fourth proportional to 3,488.16, 4,814.54 and 1,996.54 is: 2,755.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488.16 : 4,814.54 = 1,996.54 : x
  2. Step 2: Convert to fraction form
    3,488.16/4,814.54 = 1,996.54/x
  3. Step 3: Cross multiply
    3,488.16x = 4,814.54 × 1,996.54
  4. Step 4: Simplify right side
    3,488.16x = 9,612,421.69
  5. Step 5: Solve for x
    x = 9,612,421.69/3,488.16
  6. Step 6: Final answer
    x = 2,755.73

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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.