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Finding the Fourth Proportional to 5,811.96, 8,717.01 and 4,831.07

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Solution

The fourth proportional to 5,811.96, 8,717.01 and 4,831.07 is: 7,245.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,811.96 : 8,717.01 = 4,831.07 : x
  2. Step 2: Convert to fraction form
    5,811.96/8,717.01 = 4,831.07/x
  3. Step 3: Cross multiply
    5,811.96x = 8,717.01 × 4,831.07
  4. Step 4: Simplify right side
    5,811.96x = 42,112,485.50
  5. Step 5: Solve for x
    x = 42,112,485.50/5,811.96
  6. Step 6: Final answer
    x = 7,245.83

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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.