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Finding the Fourth Proportional to 3,829.80, 5,744.70 and 1,881.60

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Solution

The fourth proportional to 3,829.80, 5,744.70 and 1,881.60 is: 2,822.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.80 : 5,744.70 = 1,881.60 : x
  2. Step 2: Convert to fraction form
    3,829.80/5,744.70 = 1,881.60/x
  3. Step 3: Cross multiply
    3,829.80x = 5,744.70 × 1,881.60
  4. Step 4: Simplify right side
    3,829.80x = 10,809,227.52
  5. Step 5: Solve for x
    x = 10,809,227.52/3,829.80
  6. Step 6: Final answer
    x = 2,822.40

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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.