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Finding the Fourth Proportional to 5,738, 8,608.56 and 1,634

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Solution

The fourth proportional to 5,738, 8,608.56 and 1,634 is: 2,451.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738 : 8,608.56 = 1,634 : x
  2. Step 2: Convert to fraction form
    5,738/8,608.56 = 1,634/x
  3. Step 3: Cross multiply
    5,738x = 8,608.56 × 1,634
  4. Step 4: Simplify right side
    5,738x = 14,066,387.04
  5. Step 5: Solve for x
    x = 14,066,387.04/5,738
  6. Step 6: Final answer
    x = 2,451.44

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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.