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Finding the Fourth Proportional to 5,984.92, 8,250.61 and 4,211.02

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Solution

The fourth proportional to 5,984.92, 8,250.61 and 4,211.02 is: 5,805.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984.92 : 8,250.61 = 4,211.02 : x
  2. Step 2: Convert to fraction form
    5,984.92/8,250.61 = 4,211.02/x
  3. Step 3: Cross multiply
    5,984.92x = 8,250.61 × 4,211.02
  4. Step 4: Simplify right side
    5,984.92x = 34,743,483.72
  5. Step 5: Solve for x
    x = 34,743,483.72/5,984.92
  6. Step 6: Final answer
    x = 5,805.17

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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.