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Finding the Fourth Proportional to 4,205.60, 6,314.80 and 3,232.80

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Solution

The fourth proportional to 4,205.60, 6,314.80 and 3,232.80 is: 4,854.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205.60 : 6,314.80 = 3,232.80 : x
  2. Step 2: Convert to fraction form
    4,205.60/6,314.80 = 3,232.80/x
  3. Step 3: Cross multiply
    4,205.60x = 6,314.80 × 3,232.80
  4. Step 4: Simplify right side
    4,205.60x = 20,414,485.44
  5. Step 5: Solve for x
    x = 20,414,485.44/4,205.60
  6. Step 6: Final answer
    x = 4,854.12

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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.