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Finding the Fourth Proportional to 3,327.75, 4,991.63 and 1,380.00

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Solution

The fourth proportional to 3,327.75, 4,991.63 and 1,380.00 is: 2,070.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,327.75 : 4,991.63 = 1,380.00 : x
  2. Step 2: Convert to fraction form
    3,327.75/4,991.63 = 1,380.00/x
  3. Step 3: Cross multiply
    3,327.75x = 4,991.63 × 1,380.00
  4. Step 4: Simplify right side
    3,327.75x = 6,888,461.22
  5. Step 5: Solve for x
    x = 6,888,461.22/3,327.75
  6. Step 6: Final answer
    x = 2,070.01

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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.