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Finding the Fourth Proportional to 3,829.60, 5,744.44 and 1,636.96

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Solution

The fourth proportional to 3,829.60, 5,744.44 and 1,636.96 is: 2,455.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.60 : 5,744.44 = 1,636.96 : x
  2. Step 2: Convert to fraction form
    3,829.60/5,744.44 = 1,636.96/x
  3. Step 3: Cross multiply
    3,829.60x = 5,744.44 × 1,636.96
  4. Step 4: Simplify right side
    3,829.60x = 9,403,418.50
  5. Step 5: Solve for x
    x = 9,403,418.50/3,829.60
  6. Step 6: Final answer
    x = 2,455.46

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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.