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Finding the Fourth Proportional to 3,624.22, 5,001.24 and 2,051.92

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Solution

The fourth proportional to 3,624.22, 5,001.24 and 2,051.92 is: 2,831.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,624.22 : 5,001.24 = 2,051.92 : x
  2. Step 2: Convert to fraction form
    3,624.22/5,001.24 = 2,051.92/x
  3. Step 3: Cross multiply
    3,624.22x = 5,001.24 × 2,051.92
  4. Step 4: Simplify right side
    3,624.22x = 10,262,144.38
  5. Step 5: Solve for x
    x = 10,262,144.38/3,624.22
  6. Step 6: Final answer
    x = 2,831.55

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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.