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Finding the Fourth Proportional to 4,831.43, 7,245.11 and 1,543.64

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Solution

The fourth proportional to 4,831.43, 7,245.11 and 1,543.64 is: 2,314.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,831.43 : 7,245.11 = 1,543.64 : x
  2. Step 2: Convert to fraction form
    4,831.43/7,245.11 = 1,543.64/x
  3. Step 3: Cross multiply
    4,831.43x = 7,245.11 × 1,543.64
  4. Step 4: Simplify right side
    4,831.43x = 11,183,809.23
  5. Step 5: Solve for x
    x = 11,183,809.23/4,831.43
  6. Step 6: Final answer
    x = 2,314.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.