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Finding the Fourth Proportional to 4,556.64, 6,837.39 and 1,959.42

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Solution

The fourth proportional to 4,556.64, 6,837.39 and 1,959.42 is: 2,940.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,556.64 : 6,837.39 = 1,959.42 : x
  2. Step 2: Convert to fraction form
    4,556.64/6,837.39 = 1,959.42/x
  3. Step 3: Cross multiply
    4,556.64x = 6,837.39 × 1,959.42
  4. Step 4: Simplify right side
    4,556.64x = 13,397,318.71
  5. Step 5: Solve for x
    x = 13,397,318.71/4,556.64
  6. Step 6: Final answer
    x = 2,940.17

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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.