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Finding the Fourth Proportional to 4,228.56, 6,311.76 and 3,931.44

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Solution

The fourth proportional to 4,228.56, 6,311.76 and 3,931.44 is: 5,868.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,228.56 : 6,311.76 = 3,931.44 : x
  2. Step 2: Convert to fraction form
    4,228.56/6,311.76 = 3,931.44/x
  3. Step 3: Cross multiply
    4,228.56x = 6,311.76 × 3,931.44
  4. Step 4: Simplify right side
    4,228.56x = 24,814,305.73
  5. Step 5: Solve for x
    x = 24,814,305.73/4,228.56
  6. Step 6: Final answer
    x = 5,868.26

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.