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Finding the Fourth Proportional to 6,002.69, 8,281.40 and 3,760.67

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Solution

The fourth proportional to 6,002.69, 8,281.40 and 3,760.67 is: 5,188.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,002.69 : 8,281.40 = 3,760.67 : x
  2. Step 2: Convert to fraction form
    6,002.69/8,281.40 = 3,760.67/x
  3. Step 3: Cross multiply
    6,002.69x = 8,281.40 × 3,760.67
  4. Step 4: Simplify right side
    6,002.69x = 31,143,571.13
  5. Step 5: Solve for x
    x = 31,143,571.13/6,002.69
  6. Step 6: Final answer
    x = 5,188.27

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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.