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Finding the Fourth Proportional to 3,250.54, 4,486.27 and 2,416.78

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Solution

The fourth proportional to 3,250.54, 4,486.27 and 2,416.78 is: 3,335.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,250.54 : 4,486.27 = 2,416.78 : x
  2. Step 2: Convert to fraction form
    3,250.54/4,486.27 = 2,416.78/x
  3. Step 3: Cross multiply
    3,250.54x = 4,486.27 × 2,416.78
  4. Step 4: Simplify right side
    3,250.54x = 10,842,299.14
  5. Step 5: Solve for x
    x = 10,842,299.14/3,250.54
  6. Step 6: Final answer
    x = 3,335.54

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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.