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Finding the Fourth Proportional to 5,044.46, 6,959.32 and 3,180.38

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Solution

The fourth proportional to 5,044.46, 6,959.32 and 3,180.38 is: 4,387.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,044.46 : 6,959.32 = 3,180.38 : x
  2. Step 2: Convert to fraction form
    5,044.46/6,959.32 = 3,180.38/x
  3. Step 3: Cross multiply
    5,044.46x = 6,959.32 × 3,180.38
  4. Step 4: Simplify right side
    5,044.46x = 22,133,239.39
  5. Step 5: Solve for x
    x = 22,133,239.39/5,044.46
  6. Step 6: Final answer
    x = 4,387.64

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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.