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Finding the Fourth Proportional to 4,624.56, 6,375.76 and 3,683.44

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Solution

The fourth proportional to 4,624.56, 6,375.76 and 3,683.44 is: 5,078.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,624.56 : 6,375.76 = 3,683.44 : x
  2. Step 2: Convert to fraction form
    4,624.56/6,375.76 = 3,683.44/x
  3. Step 3: Cross multiply
    4,624.56x = 6,375.76 × 3,683.44
  4. Step 4: Simplify right side
    4,624.56x = 23,484,729.41
  5. Step 5: Solve for x
    x = 23,484,729.41/4,624.56
  6. Step 6: Final answer
    x = 5,078.26

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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.