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Finding the Fourth Proportional to 3,631.82, 5,448.30 and 1,440.50

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Solution

The fourth proportional to 3,631.82, 5,448.30 and 1,440.50 is: 2,160.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,631.82 : 5,448.30 = 1,440.50 : x
  2. Step 2: Convert to fraction form
    3,631.82/5,448.30 = 1,440.50/x
  3. Step 3: Cross multiply
    3,631.82x = 5,448.30 × 1,440.50
  4. Step 4: Simplify right side
    3,631.82x = 7,848,276.15
  5. Step 5: Solve for x
    x = 7,848,276.15/3,631.82
  6. Step 6: Final answer
    x = 2,160.98

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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.