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Finding the Fourth Proportional to 3,697.48, 5,112.38 and 3,230.62

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Solution

The fourth proportional to 3,697.48, 5,112.38 and 3,230.62 is: 4,466.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.48 : 5,112.38 = 3,230.62 : x
  2. Step 2: Convert to fraction form
    3,697.48/5,112.38 = 3,230.62/x
  3. Step 3: Cross multiply
    3,697.48x = 5,112.38 × 3,230.62
  4. Step 4: Simplify right side
    3,697.48x = 16,516,152.37
  5. Step 5: Solve for x
    x = 16,516,152.37/3,697.48
  6. Step 6: Final answer
    x = 4,466.87

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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.