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Finding the Fourth Proportional to 5,831.96, 8,731.08 and 5,231.03

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Solution

The fourth proportional to 5,831.96, 8,731.08 and 5,231.03 is: 7,831.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,831.96 : 8,731.08 = 5,231.03 : x
  2. Step 2: Convert to fraction form
    5,831.96/8,731.08 = 5,231.03/x
  3. Step 3: Cross multiply
    5,831.96x = 8,731.08 × 5,231.03
  4. Step 4: Simplify right side
    5,831.96x = 45,672,497.76
  5. Step 5: Solve for x
    x = 45,672,497.76/5,831.96
  6. Step 6: Final answer
    x = 7,831.42

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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.