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Finding the Fourth Proportional to 4,000.23, 5,999.67 and 1,078.56

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Solution

The fourth proportional to 4,000.23, 5,999.67 and 1,078.56 is: 1,617.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,000.23 : 5,999.67 = 1,078.56 : x
  2. Step 2: Convert to fraction form
    4,000.23/5,999.67 = 1,078.56/x
  3. Step 3: Cross multiply
    4,000.23x = 5,999.67 × 1,078.56
  4. Step 4: Simplify right side
    4,000.23x = 6,471,004.08
  5. Step 5: Solve for x
    x = 6,471,004.08/4,000.23
  6. Step 6: Final answer
    x = 1,617.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.