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Finding the Fourth Proportional to 5,737, 8,608.76 and 2,659

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Solution

The fourth proportional to 5,737, 8,608.76 and 2,659 is: 3,990.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,737 : 8,608.76 = 2,659 : x
  2. Step 2: Convert to fraction form
    5,737/8,608.76 = 2,659/x
  3. Step 3: Cross multiply
    5,737x = 8,608.76 × 2,659
  4. Step 4: Simplify right side
    5,737x = 22,890,692.84
  5. Step 5: Solve for x
    x = 22,890,692.84/5,737
  6. Step 6: Final answer
    x = 3,990.01

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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.