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Finding the Fourth Proportional to 5,224.58, 7,831.37 and 1,713.68

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Solution

The fourth proportional to 5,224.58, 7,831.37 and 1,713.68 is: 2,568.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,224.58 : 7,831.37 = 1,713.68 : x
  2. Step 2: Convert to fraction form
    5,224.58/7,831.37 = 1,713.68/x
  3. Step 3: Cross multiply
    5,224.58x = 7,831.37 × 1,713.68
  4. Step 4: Simplify right side
    5,224.58x = 13,420,456.64
  5. Step 5: Solve for x
    x = 13,420,456.64/5,224.58
  6. Step 6: Final answer
    x = 2,568.72

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