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Finding the Fourth Proportional to 3,486.81, 5,233.86 and 2,563.41

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Solution

The fourth proportional to 3,486.81, 5,233.86 and 2,563.41 is: 3,847.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.81 : 5,233.86 = 2,563.41 : x
  2. Step 2: Convert to fraction form
    3,486.81/5,233.86 = 2,563.41/x
  3. Step 3: Cross multiply
    3,486.81x = 5,233.86 × 2,563.41
  4. Step 4: Simplify right side
    3,486.81x = 13,416,529.06
  5. Step 5: Solve for x
    x = 13,416,529.06/3,486.81
  6. Step 6: Final answer
    x = 3,847.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.