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Finding the Fourth Proportional to 3,632.69, 4,997.38 and 3,182.53

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Solution

The fourth proportional to 3,632.69, 4,997.38 and 3,182.53 is: 4,378.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,632.69 : 4,997.38 = 3,182.53 : x
  2. Step 2: Convert to fraction form
    3,632.69/4,997.38 = 3,182.53/x
  3. Step 3: Cross multiply
    3,632.69x = 4,997.38 × 3,182.53
  4. Step 4: Simplify right side
    3,632.69x = 15,904,303.82
  5. Step 5: Solve for x
    x = 15,904,303.82/3,632.69
  6. Step 6: Final answer
    x = 4,378.11

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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.