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Finding the Fourth Proportional to 3,277.46, 4,910.72 and 1,425.80

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Solution

The fourth proportional to 3,277.46, 4,910.72 and 1,425.80 is: 2,136.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,277.46 : 4,910.72 = 1,425.80 : x
  2. Step 2: Convert to fraction form
    3,277.46/4,910.72 = 1,425.80/x
  3. Step 3: Cross multiply
    3,277.46x = 4,910.72 × 1,425.80
  4. Step 4: Simplify right side
    3,277.46x = 7,001,697.45
  5. Step 5: Solve for x
    x = 7,001,697.45/3,277.46
  6. Step 6: Final answer
    x = 2,136.32

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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.