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Finding the Fourth Proportional to 5,721, 8,582 and 1,617

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Solution

The fourth proportional to 5,721, 8,582 and 1,617 is: 2,425.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,721 : 8,582 = 1,617 : x
  2. Step 2: Convert to fraction form
    5,721/8,582 = 1,617/x
  3. Step 3: Cross multiply
    5,721x = 8,582 × 1,617
  4. Step 4: Simplify right side
    5,721x = 13,877,094
  5. Step 5: Solve for x
    x = 13,877,094/5,721
  6. Step 6: Final answer
    x = 2,425.64

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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.