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Finding the Fourth Proportional to 4,000.77, 6,000.26 and 1,079.31

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Solution

The fourth proportional to 4,000.77, 6,000.26 and 1,079.31 is: 1,618.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,000.77 : 6,000.26 = 1,079.31 : x
  2. Step 2: Convert to fraction form
    4,000.77/6,000.26 = 1,079.31/x
  3. Step 3: Cross multiply
    4,000.77x = 6,000.26 × 1,079.31
  4. Step 4: Simplify right side
    4,000.77x = 6,476,135.22
  5. Step 5: Solve for x
    x = 6,476,135.22/4,000.77
  6. Step 6: Final answer
    x = 1,618.72

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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.