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Finding the Fourth Proportional to 3,761.03, 5,646.75 and 1,913.42

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Solution

The fourth proportional to 3,761.03, 5,646.75 and 1,913.42 is: 2,872.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.03 : 5,646.75 = 1,913.42 : x
  2. Step 2: Convert to fraction form
    3,761.03/5,646.75 = 1,913.42/x
  3. Step 3: Cross multiply
    3,761.03x = 5,646.75 × 1,913.42
  4. Step 4: Simplify right side
    3,761.03x = 10,804,611.33
  5. Step 5: Solve for x
    x = 10,804,611.33/3,761.03
  6. Step 6: Final answer
    x = 2,872.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.