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Finding the Fourth Proportional to 6,000.69, 8,278.64 and 3,758.66

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Solution

The fourth proportional to 6,000.69, 8,278.64 and 3,758.66 is: 5,185.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,000.69 : 8,278.64 = 3,758.66 : x
  2. Step 2: Convert to fraction form
    6,000.69/8,278.64 = 3,758.66/x
  3. Step 3: Cross multiply
    6,000.69x = 8,278.64 × 3,758.66
  4. Step 4: Simplify right side
    6,000.69x = 31,116,623.12
  5. Step 5: Solve for x
    x = 31,116,623.12/6,000.69
  6. Step 6: Final answer
    x = 5,185.51

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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.