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Finding the Fourth Proportional to 6,149.10, 8,481.06 and 4,156.50

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Solution

The fourth proportional to 6,149.10, 8,481.06 and 4,156.50 is: 5,732.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149.10 : 8,481.06 = 4,156.50 : x
  2. Step 2: Convert to fraction form
    6,149.10/8,481.06 = 4,156.50/x
  3. Step 3: Cross multiply
    6,149.10x = 8,481.06 × 4,156.50
  4. Step 4: Simplify right side
    6,149.10x = 35,251,525.89
  5. Step 5: Solve for x
    x = 35,251,525.89/6,149.10
  6. Step 6: Final answer
    x = 5,732.79

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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.