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Finding the Fourth Proportional to 4,093.56, 5,646.06 and 2,765.88

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Solution

The fourth proportional to 4,093.56, 5,646.06 and 2,765.88 is: 3,814.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,093.56 : 5,646.06 = 2,765.88 : x
  2. Step 2: Convert to fraction form
    4,093.56/5,646.06 = 2,765.88/x
  3. Step 3: Cross multiply
    4,093.56x = 5,646.06 × 2,765.88
  4. Step 4: Simplify right side
    4,093.56x = 15,616,324.43
  5. Step 5: Solve for x
    x = 15,616,324.43/4,093.56
  6. Step 6: Final answer
    x = 3,814.85

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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.