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Finding the Fourth Proportional to 3,471.34, 4,783.36 and 2,474.50

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Solution

The fourth proportional to 3,471.34, 4,783.36 and 2,474.50 is: 3,409.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.34 : 4,783.36 = 2,474.50 : x
  2. Step 2: Convert to fraction form
    3,471.34/4,783.36 = 2,474.50/x
  3. Step 3: Cross multiply
    3,471.34x = 4,783.36 × 2,474.50
  4. Step 4: Simplify right side
    3,471.34x = 11,836,388.03
  5. Step 5: Solve for x
    x = 11,836,388.03/3,471.34
  6. Step 6: Final answer
    x = 3,409.75

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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.