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Finding the Fourth Proportional to 4,552.67, 6,832.13 and 1,591.12

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Solution

The fourth proportional to 4,552.67, 6,832.13 and 1,591.12 is: 2,387.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,552.67 : 6,832.13 = 1,591.12 : x
  2. Step 2: Convert to fraction form
    4,552.67/6,832.13 = 1,591.12/x
  3. Step 3: Cross multiply
    4,552.67x = 6,832.13 × 1,591.12
  4. Step 4: Simplify right side
    4,552.67x = 10,870,738.69
  5. Step 5: Solve for x
    x = 10,870,738.69/4,552.67
  6. Step 6: Final answer
    x = 2,387.77

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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.