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Finding the Fourth Proportional to 5,682.68, 7,841.54 and 3,324.36

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Solution

The fourth proportional to 5,682.68, 7,841.54 and 3,324.36 is: 4,587.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.68 : 7,841.54 = 3,324.36 : x
  2. Step 2: Convert to fraction form
    5,682.68/7,841.54 = 3,324.36/x
  3. Step 3: Cross multiply
    5,682.68x = 7,841.54 × 3,324.36
  4. Step 4: Simplify right side
    5,682.68x = 26,068,101.91
  5. Step 5: Solve for x
    x = 26,068,101.91/5,682.68
  6. Step 6: Final answer
    x = 4,587.29

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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.