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Finding the Fourth Proportional to 6,034.26, 9,039.86 and 2,905.02

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Solution

The fourth proportional to 6,034.26, 9,039.86 and 2,905.02 is: 4,351.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,034.26 : 9,039.86 = 2,905.02 : x
  2. Step 2: Convert to fraction form
    6,034.26/9,039.86 = 2,905.02/x
  3. Step 3: Cross multiply
    6,034.26x = 9,039.86 × 2,905.02
  4. Step 4: Simplify right side
    6,034.26x = 26,260,974.10
  5. Step 5: Solve for x
    x = 26,260,974.10/6,034.26
  6. Step 6: Final answer
    x = 4,351.98

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Why These Related Problems?

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