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Finding the Fourth Proportional to 3,514.81, 5,273.67 and 1,539.42

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Solution

The fourth proportional to 3,514.81, 5,273.67 and 1,539.42 is: 2,309.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,514.81 : 5,273.67 = 1,539.42 : x
  2. Step 2: Convert to fraction form
    3,514.81/5,273.67 = 1,539.42/x
  3. Step 3: Cross multiply
    3,514.81x = 5,273.67 × 1,539.42
  4. Step 4: Simplify right side
    3,514.81x = 8,118,366.70
  5. Step 5: Solve for x
    x = 8,118,366.70/3,514.81
  6. Step 6: Final answer
    x = 2,309.76

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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.