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Finding the Fourth Proportional to 3,784.72, 5,222.14 and 2,212.51

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Solution

The fourth proportional to 3,784.72, 5,222.14 and 2,212.51 is: 3,052.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.72 : 5,222.14 = 2,212.51 : x
  2. Step 2: Convert to fraction form
    3,784.72/5,222.14 = 2,212.51/x
  3. Step 3: Cross multiply
    3,784.72x = 5,222.14 × 2,212.51
  4. Step 4: Simplify right side
    3,784.72x = 11,554,036.97
  5. Step 5: Solve for x
    x = 11,554,036.97/3,784.72
  6. Step 6: Final answer
    x = 3,052.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.