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Finding the Fourth Proportional to 3,673.44, 5,069.82 and 2,101.50

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Solution

The fourth proportional to 3,673.44, 5,069.82 and 2,101.50 is: 2,900.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,673.44 : 5,069.82 = 2,101.50 : x
  2. Step 2: Convert to fraction form
    3,673.44/5,069.82 = 2,101.50/x
  3. Step 3: Cross multiply
    3,673.44x = 5,069.82 × 2,101.50
  4. Step 4: Simplify right side
    3,673.44x = 10,654,226.73
  5. Step 5: Solve for x
    x = 10,654,226.73/3,673.44
  6. Step 6: Final answer
    x = 2,900.34

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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.