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Finding the Fourth Proportional to 5,929.82, 8,182.32 and 3,410.97

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Solution

The fourth proportional to 5,929.82, 8,182.32 and 3,410.97 is: 4,706.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,929.82 : 8,182.32 = 3,410.97 : x
  2. Step 2: Convert to fraction form
    5,929.82/8,182.32 = 3,410.97/x
  3. Step 3: Cross multiply
    5,929.82x = 8,182.32 × 3,410.97
  4. Step 4: Simplify right side
    5,929.82x = 27,909,631.00
  5. Step 5: Solve for x
    x = 27,909,631.00/5,929.82
  6. Step 6: Final answer
    x = 4,706.66

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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.