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Finding the Fourth Proportional to 3,536.92, 5,305.38 and 1,228.60

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Solution

The fourth proportional to 3,536.92, 5,305.38 and 1,228.60 is: 1,842.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,536.92 : 5,305.38 = 1,228.60 : x
  2. Step 2: Convert to fraction form
    3,536.92/5,305.38 = 1,228.60/x
  3. Step 3: Cross multiply
    3,536.92x = 5,305.38 × 1,228.60
  4. Step 4: Simplify right side
    3,536.92x = 6,518,189.87
  5. Step 5: Solve for x
    x = 6,518,189.87/3,536.92
  6. Step 6: Final answer
    x = 1,842.90

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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.