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Finding the Fourth Proportional to 5,841.92, 8,052.24 and 4,140.99

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Solution

The fourth proportional to 5,841.92, 8,052.24 and 4,140.99 is: 5,707.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,841.92 : 8,052.24 = 4,140.99 : x
  2. Step 2: Convert to fraction form
    5,841.92/8,052.24 = 4,140.99/x
  3. Step 3: Cross multiply
    5,841.92x = 8,052.24 × 4,140.99
  4. Step 4: Simplify right side
    5,841.92x = 33,344,245.32
  5. Step 5: Solve for x
    x = 33,344,245.32/5,841.92
  6. Step 6: Final answer
    x = 5,707.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.