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Finding the Fourth Proportional to 5,817, 8,727.10 and 1,713

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Solution

The fourth proportional to 5,817, 8,727.10 and 1,713 is: 2,569.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,817 : 8,727.10 = 1,713 : x
  2. Step 2: Convert to fraction form
    5,817/8,727.10 = 1,713/x
  3. Step 3: Cross multiply
    5,817x = 8,727.10 × 1,713
  4. Step 4: Simplify right side
    5,817x = 14,949,522.30
  5. Step 5: Solve for x
    x = 14,949,522.30/5,817
  6. Step 6: Final answer
    x = 2,569.97

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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.