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Finding the Fourth Proportional to 4,517.40, 6,773.40 and 2,175.96

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Solution

The fourth proportional to 4,517.40, 6,773.40 and 2,175.96 is: 3,262.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,517.40 : 6,773.40 = 2,175.96 : x
  2. Step 2: Convert to fraction form
    4,517.40/6,773.40 = 2,175.96/x
  3. Step 3: Cross multiply
    4,517.40x = 6,773.40 × 2,175.96
  4. Step 4: Simplify right side
    4,517.40x = 14,738,647.46
  5. Step 5: Solve for x
    x = 14,738,647.46/4,517.40
  6. Step 6: Final answer
    x = 3,262.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.