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Finding the Fourth Proportional to 4,626.48, 6,380.92 and 4,095.96

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Solution

The fourth proportional to 4,626.48, 6,380.92 and 4,095.96 is: 5,649.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,626.48 : 6,380.92 = 4,095.96 : x
  2. Step 2: Convert to fraction form
    4,626.48/6,380.92 = 4,095.96/x
  3. Step 3: Cross multiply
    4,626.48x = 6,380.92 × 4,095.96
  4. Step 4: Simplify right side
    4,626.48x = 26,135,993.08
  5. Step 5: Solve for x
    x = 26,135,993.08/4,626.48
  6. Step 6: Final answer
    x = 5,649.22

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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.