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Finding the Fourth Proportional to 4,954.14, 6,831.81 and 4,543.88

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Solution

The fourth proportional to 4,954.14, 6,831.81 and 4,543.88 is: 6,266.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,954.14 : 6,831.81 = 4,543.88 : x
  2. Step 2: Convert to fraction form
    4,954.14/6,831.81 = 4,543.88/x
  3. Step 3: Cross multiply
    4,954.14x = 6,831.81 × 4,543.88
  4. Step 4: Simplify right side
    4,954.14x = 31,042,890.66
  5. Step 5: Solve for x
    x = 31,042,890.66/4,954.14
  6. Step 6: Final answer
    x = 6,266.05

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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.