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Finding the Fourth Proportional to 6,388.40, 8,812.39 and 3,835.50

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Solution

The fourth proportional to 6,388.40, 8,812.39 and 3,835.50 is: 5,290.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,388.40 : 8,812.39 = 3,835.50 : x
  2. Step 2: Convert to fraction form
    6,388.40/8,812.39 = 3,835.50/x
  3. Step 3: Cross multiply
    6,388.40x = 8,812.39 × 3,835.50
  4. Step 4: Simplify right side
    6,388.40x = 33,799,902.67
  5. Step 5: Solve for x
    x = 33,799,902.67/6,388.40
  6. Step 6: Final answer
    x = 5,290.83

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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.