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Finding the Fourth Proportional to 3,632.48, 4,997.10 and 3,182.33

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Solution

The fourth proportional to 3,632.48, 4,997.10 and 3,182.33 is: 4,377.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,632.48 : 4,997.10 = 3,182.33 : x
  2. Step 2: Convert to fraction form
    3,632.48/4,997.10 = 3,182.33/x
  3. Step 3: Cross multiply
    3,632.48x = 4,997.10 × 3,182.33
  4. Step 4: Simplify right side
    3,632.48x = 15,902,390.57
  5. Step 5: Solve for x
    x = 15,902,390.57/3,632.48
  6. Step 6: Final answer
    x = 4,377.83

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