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Finding the Fourth Proportional to 4,447.68, 6,671.63 and 3,409.56

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Solution

The fourth proportional to 4,447.68, 6,671.63 and 3,409.56 is: 5,114.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,447.68 : 6,671.63 = 3,409.56 : x
  2. Step 2: Convert to fraction form
    4,447.68/6,671.63 = 3,409.56/x
  3. Step 3: Cross multiply
    4,447.68x = 6,671.63 × 3,409.56
  4. Step 4: Simplify right side
    4,447.68x = 22,747,331.31
  5. Step 5: Solve for x
    x = 22,747,331.31/4,447.68
  6. Step 6: Final answer
    x = 5,114.43

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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.