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Finding the Fourth Proportional to 4,960.80, 7,376.04 and 4,831.20

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Solution

The fourth proportional to 4,960.80, 7,376.04 and 4,831.20 is: 7,183.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,960.80 : 7,376.04 = 4,831.20 : x
  2. Step 2: Convert to fraction form
    4,960.80/7,376.04 = 4,831.20/x
  3. Step 3: Cross multiply
    4,960.80x = 7,376.04 × 4,831.20
  4. Step 4: Simplify right side
    4,960.80x = 35,635,124.45
  5. Step 5: Solve for x
    x = 35,635,124.45/4,960.80
  6. Step 6: Final answer
    x = 7,183.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.