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Finding the Fourth Proportional to 3,673.31, 5,069.14 and 2,101.43

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Solution

The fourth proportional to 3,673.31, 5,069.14 and 2,101.43 is: 2,899.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,673.31 : 5,069.14 = 2,101.43 : x
  2. Step 2: Convert to fraction form
    3,673.31/5,069.14 = 2,101.43/x
  3. Step 3: Cross multiply
    3,673.31x = 5,069.14 × 2,101.43
  4. Step 4: Simplify right side
    3,673.31x = 10,652,442.87
  5. Step 5: Solve for x
    x = 10,652,442.87/3,673.31
  6. Step 6: Final answer
    x = 2,899.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.