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Finding the Fourth Proportional to 5,382, 8,073 and 1,734

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Solution

The fourth proportional to 5,382, 8,073 and 1,734 is: 2,601

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,382 : 8,073 = 1,734 : x
  2. Step 2: Convert to fraction form
    5,382/8,073 = 1,734/x
  3. Step 3: Cross multiply
    5,382x = 8,073 × 1,734
  4. Step 4: Simplify right side
    5,382x = 13,998,582
  5. Step 5: Solve for x
    x = 13,998,582/5,382
  6. Step 6: Final answer
    x = 2,601

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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.