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Finding the Fourth Proportional to 5,982.92, 8,247.86 and 4,209.02

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Solution

The fourth proportional to 5,982.92, 8,247.86 and 4,209.02 is: 5,802.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,982.92 : 8,247.86 = 4,209.02 : x
  2. Step 2: Convert to fraction form
    5,982.92/8,247.86 = 4,209.02/x
  3. Step 3: Cross multiply
    5,982.92x = 8,247.86 × 4,209.02
  4. Step 4: Simplify right side
    5,982.92x = 34,715,366.46
  5. Step 5: Solve for x
    x = 34,715,366.46/5,982.92
  6. Step 6: Final answer
    x = 5,802.42

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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.