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Finding the Fourth Proportional to 3,673.69, 5,065.63 and 2,731.21

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Solution

The fourth proportional to 3,673.69, 5,065.63 and 2,731.21 is: 3,766.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,673.69 : 5,065.63 = 2,731.21 : x
  2. Step 2: Convert to fraction form
    3,673.69/5,065.63 = 2,731.21/x
  3. Step 3: Cross multiply
    3,673.69x = 5,065.63 × 2,731.21
  4. Step 4: Simplify right side
    3,673.69x = 13,835,279.82
  5. Step 5: Solve for x
    x = 13,835,279.82/3,673.69
  6. Step 6: Final answer
    x = 3,766.05

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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.