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Finding the Fourth Proportional to 3,485.60, 5,231.96 and 1,841.84

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Solution

The fourth proportional to 3,485.60, 5,231.96 and 1,841.84 is: 2,764.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.60 : 5,231.96 = 1,841.84 : x
  2. Step 2: Convert to fraction form
    3,485.60/5,231.96 = 1,841.84/x
  3. Step 3: Cross multiply
    3,485.60x = 5,231.96 × 1,841.84
  4. Step 4: Simplify right side
    3,485.60x = 9,636,433.21
  5. Step 5: Solve for x
    x = 9,636,433.21/3,485.60
  6. Step 6: Final answer
    x = 2,764.64

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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.