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Finding the Fourth Proportional to 3,701, 5,107.44 and 2,045

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Solution

The fourth proportional to 3,701, 5,107.44 and 2,045 is: 2,822.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,701 : 5,107.44 = 2,045 : x
  2. Step 2: Convert to fraction form
    3,701/5,107.44 = 2,045/x
  3. Step 3: Cross multiply
    3,701x = 5,107.44 × 2,045
  4. Step 4: Simplify right side
    3,701x = 10,444,714.80
  5. Step 5: Solve for x
    x = 10,444,714.80/3,701
  6. Step 6: Final answer
    x = 2,822.13

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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.