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Finding the Fourth Proportional to 4,869.32, 6,716.94 and 3,191

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Solution

The fourth proportional to 4,869.32, 6,716.94 and 3,191 is: 4,401.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,869.32 : 6,716.94 = 3,191 : x
  2. Step 2: Convert to fraction form
    4,869.32/6,716.94 = 3,191/x
  3. Step 3: Cross multiply
    4,869.32x = 6,716.94 × 3,191
  4. Step 4: Simplify right side
    4,869.32x = 21,433,755.54
  5. Step 5: Solve for x
    x = 21,433,755.54/4,869.32
  6. Step 6: Final answer
    x = 4,401.80

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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.