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Finding the Fourth Proportional to 4,949.92, 6,831.48 and 2,854

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Solution

The fourth proportional to 4,949.92, 6,831.48 and 2,854 is: 3,938.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,949.92 : 6,831.48 = 2,854 : x
  2. Step 2: Convert to fraction form
    4,949.92/6,831.48 = 2,854/x
  3. Step 3: Cross multiply
    4,949.92x = 6,831.48 × 2,854
  4. Step 4: Simplify right side
    4,949.92x = 19,497,043.92
  5. Step 5: Solve for x
    x = 19,497,043.92/4,949.92
  6. Step 6: Final answer
    x = 3,938.86

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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.