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Finding the Fourth Proportional to 3,628.60, 5,443.38 and 1,162.60

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Solution

The fourth proportional to 3,628.60, 5,443.38 and 1,162.60 is: 1,744.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,628.60 : 5,443.38 = 1,162.60 : x
  2. Step 2: Convert to fraction form
    3,628.60/5,443.38 = 1,162.60/x
  3. Step 3: Cross multiply
    3,628.60x = 5,443.38 × 1,162.60
  4. Step 4: Simplify right side
    3,628.60x = 6,328,473.59
  5. Step 5: Solve for x
    x = 6,328,473.59/3,628.60
  6. Step 6: Final answer
    x = 1,744.05

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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.