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Finding the Fourth Proportional to 3,673.72, 5,069.80 and 2,101.84

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Solution

The fourth proportional to 3,673.72, 5,069.80 and 2,101.84 is: 2,900.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,673.72 : 5,069.80 = 2,101.84 : x
  2. Step 2: Convert to fraction form
    3,673.72/5,069.80 = 2,101.84/x
  3. Step 3: Cross multiply
    3,673.72x = 5,069.80 × 2,101.84
  4. Step 4: Simplify right side
    3,673.72x = 10,655,908.43
  5. Step 5: Solve for x
    x = 10,655,908.43/3,673.72
  6. Step 6: Final answer
    x = 2,900.58

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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.