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Finding the Fourth Proportional to 3,162.92, 4,743.78 and 1,054.57

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Solution

The fourth proportional to 3,162.92, 4,743.78 and 1,054.57 is: 1,581.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.92 : 4,743.78 = 1,054.57 : x
  2. Step 2: Convert to fraction form
    3,162.92/4,743.78 = 1,054.57/x
  3. Step 3: Cross multiply
    3,162.92x = 4,743.78 × 1,054.57
  4. Step 4: Simplify right side
    3,162.92x = 5,002,648.07
  5. Step 5: Solve for x
    x = 5,002,648.07/3,162.92
  6. Step 6: Final answer
    x = 1,581.65

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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.