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Finding the Fourth Proportional to 5,836.16, 8,052 and 3,969.92

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Solution

The fourth proportional to 5,836.16, 8,052 and 3,969.92 is: 5,477.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,836.16 : 8,052 = 3,969.92 : x
  2. Step 2: Convert to fraction form
    5,836.16/8,052 = 3,969.92/x
  3. Step 3: Cross multiply
    5,836.16x = 8,052 × 3,969.92
  4. Step 4: Simplify right side
    5,836.16x = 31,965,795.84
  5. Step 5: Solve for x
    x = 31,965,795.84/5,836.16
  6. Step 6: Final answer
    x = 5,477.20

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Why These Related Problems?

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