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Finding the Fourth Proportional to 4,727.56, 6,523.92 and 2,632

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Solution

The fourth proportional to 4,727.56, 6,523.92 and 2,632 is: 3,632.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,727.56 : 6,523.92 = 2,632 : x
  2. Step 2: Convert to fraction form
    4,727.56/6,523.92 = 2,632/x
  3. Step 3: Cross multiply
    4,727.56x = 6,523.92 × 2,632
  4. Step 4: Simplify right side
    4,727.56x = 17,170,957.44
  5. Step 5: Solve for x
    x = 17,170,957.44/4,727.56
  6. Step 6: Final answer
    x = 3,632.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.