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Finding the Fourth Proportional to 6,434.46, 8,879.67 and 3,781.98

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Solution

The fourth proportional to 6,434.46, 8,879.67 and 3,781.98 is: 5,219.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434.46 : 8,879.67 = 3,781.98 : x
  2. Step 2: Convert to fraction form
    6,434.46/8,879.67 = 3,781.98/x
  3. Step 3: Cross multiply
    6,434.46x = 8,879.67 × 3,781.98
  4. Step 4: Simplify right side
    6,434.46x = 33,582,734.35
  5. Step 5: Solve for x
    x = 33,582,734.35/6,434.46
  6. Step 6: Final answer
    x = 5,219.20

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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.