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Finding the Fourth Proportional to 4,029.32, 6,034.26 and 4,000.16

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Solution

The fourth proportional to 4,029.32, 6,034.26 and 4,000.16 is: 5,990.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,029.32 : 6,034.26 = 4,000.16 : x
  2. Step 2: Convert to fraction form
    4,029.32/6,034.26 = 4,000.16/x
  3. Step 3: Cross multiply
    4,029.32x = 6,034.26 × 4,000.16
  4. Step 4: Simplify right side
    4,029.32x = 24,138,005.48
  5. Step 5: Solve for x
    x = 24,138,005.48/4,029.32
  6. Step 6: Final answer
    x = 5,990.59

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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.