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Finding the Fourth Proportional to 4,955.38, 6,838.62 and 2,831.26

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Solution

The fourth proportional to 4,955.38, 6,838.62 and 2,831.26 is: 3,907.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,955.38 : 6,838.62 = 2,831.26 : x
  2. Step 2: Convert to fraction form
    4,955.38/6,838.62 = 2,831.26/x
  3. Step 3: Cross multiply
    4,955.38x = 6,838.62 × 2,831.26
  4. Step 4: Simplify right side
    4,955.38x = 19,361,911.26
  5. Step 5: Solve for x
    x = 19,361,911.26/4,955.38
  6. Step 6: Final answer
    x = 3,907.25

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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.