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Finding the Fourth Proportional to 5,966.16, 8,940.73 and 2,843.61

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Solution

The fourth proportional to 5,966.16, 8,940.73 and 2,843.61 is: 4,261.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,966.16 : 8,940.73 = 2,843.61 : x
  2. Step 2: Convert to fraction form
    5,966.16/8,940.73 = 2,843.61/x
  3. Step 3: Cross multiply
    5,966.16x = 8,940.73 × 2,843.61
  4. Step 4: Simplify right side
    5,966.16x = 25,423,913.93
  5. Step 5: Solve for x
    x = 25,423,913.93/5,966.16
  6. Step 6: Final answer
    x = 4,261.36

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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.