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Finding the Fourth Proportional to 5,831.64, 8,049.42 and 3,969.72

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Solution

The fourth proportional to 5,831.64, 8,049.42 and 3,969.72 is: 5,479.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,831.64 : 8,049.42 = 3,969.72 : x
  2. Step 2: Convert to fraction form
    5,831.64/8,049.42 = 3,969.72/x
  3. Step 3: Cross multiply
    5,831.64x = 8,049.42 × 3,969.72
  4. Step 4: Simplify right side
    5,831.64x = 31,953,943.56
  5. Step 5: Solve for x
    x = 31,953,943.56/5,831.64
  6. Step 6: Final answer
    x = 5,479.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.