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Finding the Fourth Proportional to 3,653.52, 5,042.34 and 2,161.32

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Solution

The fourth proportional to 3,653.52, 5,042.34 and 2,161.32 is: 2,982.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,653.52 : 5,042.34 = 2,161.32 : x
  2. Step 2: Convert to fraction form
    3,653.52/5,042.34 = 2,161.32/x
  3. Step 3: Cross multiply
    3,653.52x = 5,042.34 × 2,161.32
  4. Step 4: Simplify right side
    3,653.52x = 10,898,110.29
  5. Step 5: Solve for x
    x = 10,898,110.29/3,653.52
  6. Step 6: Final answer
    x = 2,982.91

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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.