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Finding the Fourth Proportional to 6,120.50, 8,447.02 and 3,636.50

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Solution

The fourth proportional to 6,120.50, 8,447.02 and 3,636.50 is: 5,018.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,120.50 : 8,447.02 = 3,636.50 : x
  2. Step 2: Convert to fraction form
    6,120.50/8,447.02 = 3,636.50/x
  3. Step 3: Cross multiply
    6,120.50x = 8,447.02 × 3,636.50
  4. Step 4: Simplify right side
    6,120.50x = 30,717,588.23
  5. Step 5: Solve for x
    x = 30,717,588.23/6,120.50
  6. Step 6: Final answer
    x = 5,018.80

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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.