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Finding the Fourth Proportional to 3,627.40, 5,441.10 and 1,162.24

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Solution

The fourth proportional to 3,627.40, 5,441.10 and 1,162.24 is: 1,743.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,627.40 : 5,441.10 = 1,162.24 : x
  2. Step 2: Convert to fraction form
    3,627.40/5,441.10 = 1,162.24/x
  3. Step 3: Cross multiply
    3,627.40x = 5,441.10 × 1,162.24
  4. Step 4: Simplify right side
    3,627.40x = 6,323,864.06
  5. Step 5: Solve for x
    x = 6,323,864.06/3,627.40
  6. Step 6: Final answer
    x = 1,743.36

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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.