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Finding the Fourth Proportional to 4,662.24, 6,983.52 and 3,618.48

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Solution

The fourth proportional to 4,662.24, 6,983.52 and 3,618.48 is: 5,420.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.24 : 6,983.52 = 3,618.48 : x
  2. Step 2: Convert to fraction form
    4,662.24/6,983.52 = 3,618.48/x
  3. Step 3: Cross multiply
    4,662.24x = 6,983.52 × 3,618.48
  4. Step 4: Simplify right side
    4,662.24x = 25,269,727.45
  5. Step 5: Solve for x
    x = 25,269,727.45/4,662.24
  6. Step 6: Final answer
    x = 5,420.08

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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.