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Finding the Fourth Proportional to 4,266.19, 5,863.52 and 3,765.79

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Solution

The fourth proportional to 4,266.19, 5,863.52 and 3,765.79 is: 5,175.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,266.19 : 5,863.52 = 3,765.79 : x
  2. Step 2: Convert to fraction form
    4,266.19/5,863.52 = 3,765.79/x
  3. Step 3: Cross multiply
    4,266.19x = 5,863.52 × 3,765.79
  4. Step 4: Simplify right side
    4,266.19x = 22,080,784.98
  5. Step 5: Solve for x
    x = 22,080,784.98/4,266.19
  6. Step 6: Final answer
    x = 5,175.76

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.