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Finding the Fourth Proportional to 3,682.58, 5,081.67 and 2,265.89

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Solution

The fourth proportional to 3,682.58, 5,081.67 and 2,265.89 is: 3,126.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.58 : 5,081.67 = 2,265.89 : x
  2. Step 2: Convert to fraction form
    3,682.58/5,081.67 = 2,265.89/x
  3. Step 3: Cross multiply
    3,682.58x = 5,081.67 × 2,265.89
  4. Step 4: Simplify right side
    3,682.58x = 11,514,479.83
  5. Step 5: Solve for x
    x = 11,514,479.83/3,682.58
  6. Step 6: Final answer
    x = 3,126.75

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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.