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Finding the Fourth Proportional to 3,624, 5,001.96 and 2,052.24

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Solution

The fourth proportional to 3,624, 5,001.96 and 2,052.24 is: 2,832.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,624 : 5,001.96 = 2,052.24 : x
  2. Step 2: Convert to fraction form
    3,624/5,001.96 = 2,052.24/x
  3. Step 3: Cross multiply
    3,624x = 5,001.96 × 2,052.24
  4. Step 4: Simplify right side
    3,624x = 10,265,222.39
  5. Step 5: Solve for x
    x = 10,265,222.39/3,624
  6. Step 6: Final answer
    x = 2,832.57

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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.