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Finding the Fourth Proportional to 3,749.77, 5,614.53 and 2,514.52

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Solution

The fourth proportional to 3,749.77, 5,614.53 and 2,514.52 is: 3,764.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,749.77 : 5,614.53 = 2,514.52 : x
  2. Step 2: Convert to fraction form
    3,749.77/5,614.53 = 2,514.52/x
  3. Step 3: Cross multiply
    3,749.77x = 5,614.53 × 2,514.52
  4. Step 4: Simplify right side
    3,749.77x = 14,117,847.98
  5. Step 5: Solve for x
    x = 14,117,847.98/3,749.77
  6. Step 6: Final answer
    x = 3,764.99

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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.