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Finding the Fourth Proportional to 6,228.28, 8,576.04 and 5,831.65

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Solution

The fourth proportional to 6,228.28, 8,576.04 and 5,831.65 is: 8,029.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,228.28 : 8,576.04 = 5,831.65 : x
  2. Step 2: Convert to fraction form
    6,228.28/8,576.04 = 5,831.65/x
  3. Step 3: Cross multiply
    6,228.28x = 8,576.04 × 5,831.65
  4. Step 4: Simplify right side
    6,228.28x = 50,012,463.67
  5. Step 5: Solve for x
    x = 50,012,463.67/6,228.28
  6. Step 6: Final answer
    x = 8,029.90

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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.