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Finding the Fourth Proportional to 3,272.88, 4,516.32 and 1,946.88

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Solution

The fourth proportional to 3,272.88, 4,516.32 and 1,946.88 is: 2,686.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,272.88 : 4,516.32 = 1,946.88 : x
  2. Step 2: Convert to fraction form
    3,272.88/4,516.32 = 1,946.88/x
  3. Step 3: Cross multiply
    3,272.88x = 4,516.32 × 1,946.88
  4. Step 4: Simplify right side
    3,272.88x = 8,792,733.08
  5. Step 5: Solve for x
    x = 8,792,733.08/3,272.88
  6. Step 6: Final answer
    x = 2,686.54

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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.