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Finding the Fourth Proportional to 3,820.03, 5,268.65 and 2,560.68

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Solution

The fourth proportional to 3,820.03, 5,268.65 and 2,560.68 is: 3,531.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,820.03 : 5,268.65 = 2,560.68 : x
  2. Step 2: Convert to fraction form
    3,820.03/5,268.65 = 2,560.68/x
  3. Step 3: Cross multiply
    3,820.03x = 5,268.65 × 2,560.68
  4. Step 4: Simplify right side
    3,820.03x = 13,491,313.88
  5. Step 5: Solve for x
    x = 13,491,313.88/3,820.03
  6. Step 6: Final answer
    x = 3,531.73

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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.