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Finding the Fourth Proportional to 3,620.42, 5,428.20 and 1,975.40

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Solution

The fourth proportional to 3,620.42, 5,428.20 and 1,975.40 is: 2,961.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,620.42 : 5,428.20 = 1,975.40 : x
  2. Step 2: Convert to fraction form
    3,620.42/5,428.20 = 1,975.40/x
  3. Step 3: Cross multiply
    3,620.42x = 5,428.20 × 1,975.40
  4. Step 4: Simplify right side
    3,620.42x = 10,722,866.28
  5. Step 5: Solve for x
    x = 10,722,866.28/3,620.42
  6. Step 6: Final answer
    x = 2,961.77

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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.