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Finding the Fourth Proportional to 5,465.50, 8,200.06 and 2,694.08

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Solution

The fourth proportional to 5,465.50, 8,200.06 and 2,694.08 is: 4,042.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,465.50 : 8,200.06 = 2,694.08 : x
  2. Step 2: Convert to fraction form
    5,465.50/8,200.06 = 2,694.08/x
  3. Step 3: Cross multiply
    5,465.50x = 8,200.06 × 2,694.08
  4. Step 4: Simplify right side
    5,465.50x = 22,091,631.41
  5. Step 5: Solve for x
    x = 22,091,631.41/5,465.50
  6. Step 6: Final answer
    x = 4,042.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.