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Finding the Fourth Proportional to 3,729.84, 5,147.20 and 2,051.38

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Solution

The fourth proportional to 3,729.84, 5,147.20 and 2,051.38 is: 2,830.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.84 : 5,147.20 = 2,051.38 : x
  2. Step 2: Convert to fraction form
    3,729.84/5,147.20 = 2,051.38/x
  3. Step 3: Cross multiply
    3,729.84x = 5,147.20 × 2,051.38
  4. Step 4: Simplify right side
    3,729.84x = 10,558,863.14
  5. Step 5: Solve for x
    x = 10,558,863.14/3,729.84
  6. Step 6: Final answer
    x = 2,830.92

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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.