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Finding the Fourth Proportional to 3,620.25, 5,431.11 and 1,280.16

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Solution

The fourth proportional to 3,620.25, 5,431.11 and 1,280.16 is: 1,920.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,620.25 : 5,431.11 = 1,280.16 : x
  2. Step 2: Convert to fraction form
    3,620.25/5,431.11 = 1,280.16/x
  3. Step 3: Cross multiply
    3,620.25x = 5,431.11 × 1,280.16
  4. Step 4: Simplify right side
    3,620.25x = 6,952,689.78
  5. Step 5: Solve for x
    x = 6,952,689.78/3,620.25
  6. Step 6: Final answer
    x = 1,920.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.