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Finding the Fourth Proportional to 5,754.92, 8,632.22 and 4,024.68

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Solution

The fourth proportional to 5,754.92, 8,632.22 and 4,024.68 is: 6,036.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754.92 : 8,632.22 = 4,024.68 : x
  2. Step 2: Convert to fraction form
    5,754.92/8,632.22 = 4,024.68/x
  3. Step 3: Cross multiply
    5,754.92x = 8,632.22 × 4,024.68
  4. Step 4: Simplify right side
    5,754.92x = 34,741,923.19
  5. Step 5: Solve for x
    x = 34,741,923.19/5,754.92
  6. Step 6: Final answer
    x = 6,036.91

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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.