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Finding the Fourth Proportional to 4,110.52, 6,164.52 and 1,644.04

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Solution

The fourth proportional to 4,110.52, 6,164.52 and 1,644.04 is: 2,465.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,110.52 : 6,164.52 = 1,644.04 : x
  2. Step 2: Convert to fraction form
    4,110.52/6,164.52 = 1,644.04/x
  3. Step 3: Cross multiply
    4,110.52x = 6,164.52 × 1,644.04
  4. Step 4: Simplify right side
    4,110.52x = 10,134,717.46
  5. Step 5: Solve for x
    x = 10,134,717.46/4,110.52
  6. Step 6: Final answer
    x = 2,465.56

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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.