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Finding the Fourth Proportional to 4,517.64, 6,785.37 and 3,352.86

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Solution

The fourth proportional to 4,517.64, 6,785.37 and 3,352.86 is: 5,035.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,517.64 : 6,785.37 = 3,352.86 : x
  2. Step 2: Convert to fraction form
    4,517.64/6,785.37 = 3,352.86/x
  3. Step 3: Cross multiply
    4,517.64x = 6,785.37 × 3,352.86
  4. Step 4: Simplify right side
    4,517.64x = 22,750,395.66
  5. Step 5: Solve for x
    x = 22,750,395.66/4,517.64
  6. Step 6: Final answer
    x = 5,035.90

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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.