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Finding the Fourth Proportional to 5,433.97, 8,150 and 1,537.47

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Solution

The fourth proportional to 5,433.97, 8,150 and 1,537.47 is: 2,305.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,433.97 : 8,150 = 1,537.47 : x
  2. Step 2: Convert to fraction form
    5,433.97/8,150 = 1,537.47/x
  3. Step 3: Cross multiply
    5,433.97x = 8,150 × 1,537.47
  4. Step 4: Simplify right side
    5,433.97x = 12,530,380.50
  5. Step 5: Solve for x
    x = 12,530,380.50/5,433.97
  6. Step 6: Final answer
    x = 2,305.93

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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.