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Finding the Fourth Proportional to 5,410.38, 7,466.54 and 3,052.61

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Solution

The fourth proportional to 5,410.38, 7,466.54 and 3,052.61 is: 4,212.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,410.38 : 7,466.54 = 3,052.61 : x
  2. Step 2: Convert to fraction form
    5,410.38/7,466.54 = 3,052.61/x
  3. Step 3: Cross multiply
    5,410.38x = 7,466.54 × 3,052.61
  4. Step 4: Simplify right side
    5,410.38x = 22,792,382.07
  5. Step 5: Solve for x
    x = 22,792,382.07/5,410.38
  6. Step 6: Final answer
    x = 4,212.71

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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.