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Finding the Fourth Proportional to 3,852.88, 5,782.60 and 1,514.52

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Solution

The fourth proportional to 3,852.88, 5,782.60 and 1,514.52 is: 2,273.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.88 : 5,782.60 = 1,514.52 : x
  2. Step 2: Convert to fraction form
    3,852.88/5,782.60 = 1,514.52/x
  3. Step 3: Cross multiply
    3,852.88x = 5,782.60 × 1,514.52
  4. Step 4: Simplify right side
    3,852.88x = 8,757,863.35
  5. Step 5: Solve for x
    x = 8,757,863.35/3,852.88
  6. Step 6: Final answer
    x = 2,273.07

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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.