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Finding the Fourth Proportional to 3,729.84, 5,147.44 and 2,238

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Solution

The fourth proportional to 3,729.84, 5,147.44 and 2,238 is: 3,088.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.84 : 5,147.44 = 2,238 : x
  2. Step 2: Convert to fraction form
    3,729.84/5,147.44 = 2,238/x
  3. Step 3: Cross multiply
    3,729.84x = 5,147.44 × 2,238
  4. Step 4: Simplify right side
    3,729.84x = 11,519,970.72
  5. Step 5: Solve for x
    x = 11,519,970.72/3,729.84
  6. Step 6: Final answer
    x = 3,088.60

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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.