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Finding the Fourth Proportional to 3,731.69, 5,149.35 and 2,138.03

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Solution

The fourth proportional to 3,731.69, 5,149.35 and 2,138.03 is: 2,950.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,731.69 : 5,149.35 = 2,138.03 : x
  2. Step 2: Convert to fraction form
    3,731.69/5,149.35 = 2,138.03/x
  3. Step 3: Cross multiply
    3,731.69x = 5,149.35 × 2,138.03
  4. Step 4: Simplify right side
    3,731.69x = 11,009,444.38
  5. Step 5: Solve for x
    x = 11,009,444.38/3,731.69
  6. Step 6: Final answer
    x = 2,950.26

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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.