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Finding the Fourth Proportional to 4,824.76, 7,237.68 and 2,227

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Solution

The fourth proportional to 4,824.76, 7,237.68 and 2,227 is: 3,340.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,824.76 : 7,237.68 = 2,227 : x
  2. Step 2: Convert to fraction form
    4,824.76/7,237.68 = 2,227/x
  3. Step 3: Cross multiply
    4,824.76x = 7,237.68 × 2,227
  4. Step 4: Simplify right side
    4,824.76x = 16,118,313.36
  5. Step 5: Solve for x
    x = 16,118,313.36/4,824.76
  6. Step 6: Final answer
    x = 3,340.75

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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.