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Finding the Fourth Proportional to 3,653.80, 5,042.29 and 2,161.67

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Solution

The fourth proportional to 3,653.80, 5,042.29 and 2,161.67 is: 2,983.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,653.80 : 5,042.29 = 2,161.67 : x
  2. Step 2: Convert to fraction form
    3,653.80/5,042.29 = 2,161.67/x
  3. Step 3: Cross multiply
    3,653.80x = 5,042.29 × 2,161.67
  4. Step 4: Simplify right side
    3,653.80x = 10,899,781.65
  5. Step 5: Solve for x
    x = 10,899,781.65/3,653.80
  6. Step 6: Final answer
    x = 2,983.14

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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.