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Finding the Fourth Proportional to 4,832.07, 7,260.21 and 3,077.82

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Solution

The fourth proportional to 4,832.07, 7,260.21 and 3,077.82 is: 4,624.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,832.07 : 7,260.21 = 3,077.82 : x
  2. Step 2: Convert to fraction form
    4,832.07/7,260.21 = 3,077.82/x
  3. Step 3: Cross multiply
    4,832.07x = 7,260.21 × 3,077.82
  4. Step 4: Simplify right side
    4,832.07x = 22,345,619.54
  5. Step 5: Solve for x
    x = 22,345,619.54/4,832.07
  6. Step 6: Final answer
    x = 4,624.44

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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.