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Finding the Fourth Proportional to 3,675.81, 5,508.34 and 1,823.23

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Solution

The fourth proportional to 3,675.81, 5,508.34 and 1,823.23 is: 2,732.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675.81 : 5,508.34 = 1,823.23 : x
  2. Step 2: Convert to fraction form
    3,675.81/5,508.34 = 1,823.23/x
  3. Step 3: Cross multiply
    3,675.81x = 5,508.34 × 1,823.23
  4. Step 4: Simplify right side
    3,675.81x = 10,042,959.29
  5. Step 5: Solve for x
    x = 10,042,959.29/3,675.81
  6. Step 6: Final answer
    x = 2,732.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.