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Finding the Fourth Proportional to 6,029.88, 8,315.10 and 5,034.84

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Solution

The fourth proportional to 6,029.88, 8,315.10 and 5,034.84 is: 6,942.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,029.88 : 8,315.10 = 5,034.84 : x
  2. Step 2: Convert to fraction form
    6,029.88/8,315.10 = 5,034.84/x
  3. Step 3: Cross multiply
    6,029.88x = 8,315.10 × 5,034.84
  4. Step 4: Simplify right side
    6,029.88x = 41,865,198.08
  5. Step 5: Solve for x
    x = 41,865,198.08/6,029.88
  6. Step 6: Final answer
    x = 6,942.96

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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.