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Finding the Fourth Proportional to 5,514.70, 8,272.10 and 1,619.18

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Solution

The fourth proportional to 5,514.70, 8,272.10 and 1,619.18 is: 2,428.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,514.70 : 8,272.10 = 1,619.18 : x
  2. Step 2: Convert to fraction form
    5,514.70/8,272.10 = 1,619.18/x
  3. Step 3: Cross multiply
    5,514.70x = 8,272.10 × 1,619.18
  4. Step 4: Simplify right side
    5,514.70x = 13,394,018.88
  5. Step 5: Solve for x
    x = 13,394,018.88/5,514.70
  6. Step 6: Final answer
    x = 2,428.78

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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.