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Finding the Fourth Proportional to 5,984.28, 8,262 and 3,861.68

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Solution

The fourth proportional to 5,984.28, 8,262 and 3,861.68 is: 5,331.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984.28 : 8,262 = 3,861.68 : x
  2. Step 2: Convert to fraction form
    5,984.28/8,262 = 3,861.68/x
  3. Step 3: Cross multiply
    5,984.28x = 8,262 × 3,861.68
  4. Step 4: Simplify right side
    5,984.28x = 31,905,158.85
  5. Step 5: Solve for x
    x = 31,905,158.85/5,984.28
  6. Step 6: Final answer
    x = 5,331.49

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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.