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Finding the Fourth Proportional to 4,797.46, 7,195.40 and 3,406.59

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Solution

The fourth proportional to 4,797.46, 7,195.40 and 3,406.59 is: 5,109.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,797.46 : 7,195.40 = 3,406.59 : x
  2. Step 2: Convert to fraction form
    4,797.46/7,195.40 = 3,406.59/x
  3. Step 3: Cross multiply
    4,797.46x = 7,195.40 × 3,406.59
  4. Step 4: Simplify right side
    4,797.46x = 24,511,773.43
  5. Step 5: Solve for x
    x = 24,511,773.43/4,797.46
  6. Step 6: Final answer
    x = 5,109.32

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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.