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Finding the Fourth Proportional to 3,805.16, 5,255.54 and 2,544.08

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Solution

The fourth proportional to 3,805.16, 5,255.54 and 2,544.08 is: 3,513.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.16 : 5,255.54 = 2,544.08 : x
  2. Step 2: Convert to fraction form
    3,805.16/5,255.54 = 2,544.08/x
  3. Step 3: Cross multiply
    3,805.16x = 5,255.54 × 2,544.08
  4. Step 4: Simplify right side
    3,805.16x = 13,370,514.20
  5. Step 5: Solve for x
    x = 13,370,514.20/3,805.16
  6. Step 6: Final answer
    x = 3,513.79

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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.