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Finding the Fourth Proportional to 4,817.84, 7,227 and 1,355.36

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Solution

The fourth proportional to 4,817.84, 7,227 and 1,355.36 is: 2,033.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,817.84 : 7,227 = 1,355.36 : x
  2. Step 2: Convert to fraction form
    4,817.84/7,227 = 1,355.36/x
  3. Step 3: Cross multiply
    4,817.84x = 7,227 × 1,355.36
  4. Step 4: Simplify right side
    4,817.84x = 9,795,150.59
  5. Step 5: Solve for x
    x = 9,795,150.59/4,817.84
  6. Step 6: Final answer
    x = 2,033.10

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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.