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Finding the Fourth Proportional to 6,000.60, 8,283.87 and 3,765.77

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Solution

The fourth proportional to 6,000.60, 8,283.87 and 3,765.77 is: 5,198.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,000.60 : 8,283.87 = 3,765.77 : x
  2. Step 2: Convert to fraction form
    6,000.60/8,283.87 = 3,765.77/x
  3. Step 3: Cross multiply
    6,000.60x = 8,283.87 × 3,765.77
  4. Step 4: Simplify right side
    6,000.60x = 31,195,088.88
  5. Step 5: Solve for x
    x = 31,195,088.88/6,000.60
  6. Step 6: Final answer
    x = 5,198.66

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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.