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Finding the Fourth Proportional to 5,039.64, 6,949.17 and 3,446.46

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Solution

The fourth proportional to 5,039.64, 6,949.17 and 3,446.46 is: 4,752.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,039.64 : 6,949.17 = 3,446.46 : x
  2. Step 2: Convert to fraction form
    5,039.64/6,949.17 = 3,446.46/x
  3. Step 3: Cross multiply
    5,039.64x = 6,949.17 × 3,446.46
  4. Step 4: Simplify right side
    5,039.64x = 23,950,036.44
  5. Step 5: Solve for x
    x = 23,950,036.44/5,039.64
  6. Step 6: Final answer
    x = 4,752.33

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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.