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Finding the Fourth Proportional to 5,682.38, 7,841.68 and 3,324.98

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Solution

The fourth proportional to 5,682.38, 7,841.68 and 3,324.98 is: 4,588.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.38 : 7,841.68 = 3,324.98 : x
  2. Step 2: Convert to fraction form
    5,682.38/7,841.68 = 3,324.98/x
  3. Step 3: Cross multiply
    5,682.38x = 7,841.68 × 3,324.98
  4. Step 4: Simplify right side
    5,682.38x = 26,073,429.17
  5. Step 5: Solve for x
    x = 26,073,429.17/5,682.38
  6. Step 6: Final answer
    x = 4,588.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.