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Finding the Fourth Proportional to 3,620.49, 5,432.42 and 1,282.26

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Solution

The fourth proportional to 3,620.49, 5,432.42 and 1,282.26 is: 1,923.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,620.49 : 5,432.42 = 1,282.26 : x
  2. Step 2: Convert to fraction form
    3,620.49/5,432.42 = 1,282.26/x
  3. Step 3: Cross multiply
    3,620.49x = 5,432.42 × 1,282.26
  4. Step 4: Simplify right side
    3,620.49x = 6,965,774.87
  5. Step 5: Solve for x
    x = 6,965,774.87/3,620.49
  6. Step 6: Final answer
    x = 1,923.99

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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.