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Finding the Fourth Proportional to 4,950.41, 6,831.37 and 2,959.78

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Solution

The fourth proportional to 4,950.41, 6,831.37 and 2,959.78 is: 4,084.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,950.41 : 6,831.37 = 2,959.78 : x
  2. Step 2: Convert to fraction form
    4,950.41/6,831.37 = 2,959.78/x
  3. Step 3: Cross multiply
    4,950.41x = 6,831.37 × 2,959.78
  4. Step 4: Simplify right side
    4,950.41x = 20,219,327.82
  5. Step 5: Solve for x
    x = 20,219,327.82/4,950.41
  6. Step 6: Final answer
    x = 4,084.38

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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.