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Finding the Fourth Proportional to 4,956.69, 6,837.62 and 2,966.65

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Solution

The fourth proportional to 4,956.69, 6,837.62 and 2,966.65 is: 4,092.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,956.69 : 6,837.62 = 2,966.65 : x
  2. Step 2: Convert to fraction form
    4,956.69/6,837.62 = 2,966.65/x
  3. Step 3: Cross multiply
    4,956.69x = 6,837.62 × 2,966.65
  4. Step 4: Simplify right side
    4,956.69x = 20,284,825.37
  5. Step 5: Solve for x
    x = 20,284,825.37/4,956.69
  6. Step 6: Final answer
    x = 4,092.41

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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.