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Finding the Fourth Proportional to 4,829.84, 7,245.21 and 2,018.33

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Solution

The fourth proportional to 4,829.84, 7,245.21 and 2,018.33 is: 3,027.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,829.84 : 7,245.21 = 2,018.33 : x
  2. Step 2: Convert to fraction form
    4,829.84/7,245.21 = 2,018.33/x
  3. Step 3: Cross multiply
    4,829.84x = 7,245.21 × 2,018.33
  4. Step 4: Simplify right side
    4,829.84x = 14,623,224.70
  5. Step 5: Solve for x
    x = 14,623,224.70/4,829.84
  6. Step 6: Final answer
    x = 3,027.68

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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.