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Finding the Fourth Proportional to 4,626.72, 6,385.14 and 3,879.36

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Solution

The fourth proportional to 4,626.72, 6,385.14 and 3,879.36 is: 5,353.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,626.72 : 6,385.14 = 3,879.36 : x
  2. Step 2: Convert to fraction form
    4,626.72/6,385.14 = 3,879.36/x
  3. Step 3: Cross multiply
    4,626.72x = 6,385.14 × 3,879.36
  4. Step 4: Simplify right side
    4,626.72x = 24,770,256.71
  5. Step 5: Solve for x
    x = 24,770,256.71/4,626.72
  6. Step 6: Final answer
    x = 5,353.74

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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.